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Finding the Fourth Proportional to 415,731.70, 623,781.15 and 202,381.30

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Solution

The fourth proportional to 415,731.70, 623,781.15 and 202,381.30 is: 303,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,731.70 : 623,781.15 = 202,381.30 : x
  2. Step 2: Convert to fraction form
    415,731.70/623,781.15 = 202,381.30/x
  3. Step 3: Cross multiply
    415,731.70x = 623,781.15 × 202,381.30
  4. Step 4: Simplify right side
    415,731.70x = 126,241,640,052.50
  5. Step 5: Solve for x
    x = 126,241,640,052.50/415,731.70
  6. Step 6: Final answer
    x = 303,661.33

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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.