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Finding the Fourth Proportional to 428,402.92, 642,555.42 and 112,884.52

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Solution

The fourth proportional to 428,402.92, 642,555.42 and 112,884.52 is: 169,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,402.92 : 642,555.42 = 112,884.52 : x
  2. Step 2: Convert to fraction form
    428,402.92/642,555.42 = 112,884.52/x
  3. Step 3: Cross multiply
    428,402.92x = 642,555.42 × 112,884.52
  4. Step 4: Simplify right side
    428,402.92x = 72,534,560,160.10
  5. Step 5: Solve for x
    x = 72,534,560,160.10/428,402.92
  6. Step 6: Final answer
    x = 169,313.88

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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.