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Finding the Fourth Proportional to 415,128.96, 572,424.96 and 280,759.68

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Solution

The fourth proportional to 415,128.96, 572,424.96 and 280,759.68 is: 387,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,128.96 : 572,424.96 = 280,759.68 : x
  2. Step 2: Convert to fraction form
    415,128.96/572,424.96 = 280,759.68/x
  3. Step 3: Cross multiply
    415,128.96x = 572,424.96 × 280,759.68
  4. Step 4: Simplify right side
    415,128.96x = 160,713,848,593.61
  5. Step 5: Solve for x
    x = 160,713,848,593.61/415,128.96
  6. Step 6: Final answer
    x = 387,141.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.