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Finding the Fourth Proportional to 408,609.40, 612,914.10 and 231,462.40

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Solution

The fourth proportional to 408,609.40, 612,914.10 and 231,462.40 is: 347,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,609.40 : 612,914.10 = 231,462.40 : x
  2. Step 2: Convert to fraction form
    408,609.40/612,914.10 = 231,462.40/x
  3. Step 3: Cross multiply
    408,609.40x = 612,914.10 × 231,462.40
  4. Step 4: Simplify right side
    408,609.40x = 141,866,568,579.84
  5. Step 5: Solve for x
    x = 141,866,568,579.84/408,609.40
  6. Step 6: Final answer
    x = 347,193.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.