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Finding the Fourth Proportional to 472,805.40, 709,208.10 and 236,609.40

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Solution

The fourth proportional to 472,805.40, 709,208.10 and 236,609.40 is: 354,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,805.40 : 709,208.10 = 236,609.40 : x
  2. Step 2: Convert to fraction form
    472,805.40/709,208.10 = 236,609.40/x
  3. Step 3: Cross multiply
    472,805.40x = 709,208.10 × 236,609.40
  4. Step 4: Simplify right side
    472,805.40x = 167,805,303,016.14
  5. Step 5: Solve for x
    x = 167,805,303,016.14/472,805.40
  6. Step 6: Final answer
    x = 354,914.10

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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.