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Finding the Fourth Proportional to 428,753.92, 643,123.20 and 175,979.52

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Solution

The fourth proportional to 428,753.92, 643,123.20 and 175,979.52 is: 263,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,753.92 : 643,123.20 = 175,979.52 : x
  2. Step 2: Convert to fraction form
    428,753.92/643,123.20 = 175,979.52/x
  3. Step 3: Cross multiply
    428,753.92x = 643,123.20 × 175,979.52
  4. Step 4: Simplify right side
    428,753.92x = 113,176,512,036.86
  5. Step 5: Solve for x
    x = 113,176,512,036.86/428,753.92
  6. Step 6: Final answer
    x = 263,966.13

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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.