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Finding the Fourth Proportional to 462,406.50, 693,609.75 and 129,982.50

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Solution

The fourth proportional to 462,406.50, 693,609.75 and 129,982.50 is: 194,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,406.50 : 693,609.75 = 129,982.50 : x
  2. Step 2: Convert to fraction form
    462,406.50/693,609.75 = 129,982.50/x
  3. Step 3: Cross multiply
    462,406.50x = 693,609.75 × 129,982.50
  4. Step 4: Simplify right side
    462,406.50x = 90,157,129,329.38
  5. Step 5: Solve for x
    x = 90,157,129,329.38/462,406.50
  6. Step 6: Final answer
    x = 194,973.75

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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.