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Finding the Fourth Proportional to 427,588.80, 642,765.60 and 394,411.20

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Solution

The fourth proportional to 427,588.80, 642,765.60 and 394,411.20 is: 592,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,588.80 : 642,765.60 = 394,411.20 : x
  2. Step 2: Convert to fraction form
    427,588.80/642,765.60 = 394,411.20/x
  3. Step 3: Cross multiply
    427,588.80x = 642,765.60 × 394,411.20
  4. Step 4: Simplify right side
    427,588.80x = 253,513,951,614.72
  5. Step 5: Solve for x
    x = 253,513,951,614.72/427,588.80
  6. Step 6: Final answer
    x = 592,891.94

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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.