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Finding the Fourth Proportional to 415,079.68, 569,073.72 and 407,512.87

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Solution

The fourth proportional to 415,079.68, 569,073.72 and 407,512.87 is: 558,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,079.68 : 569,073.72 = 407,512.87 : x
  2. Step 2: Convert to fraction form
    415,079.68/569,073.72 = 407,512.87/x
  3. Step 3: Cross multiply
    415,079.68x = 569,073.72 × 407,512.87
  4. Step 4: Simplify right side
    415,079.68x = 231,904,861,014.63
  5. Step 5: Solve for x
    x = 231,904,861,014.63/415,079.68
  6. Step 6: Final answer
    x = 558,699.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.