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Finding the Fourth Proportional to 492,956.28, 680,280.12 and 266,601.78

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Solution

The fourth proportional to 492,956.28, 680,280.12 and 266,601.78 is: 367,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,956.28 : 680,280.12 = 266,601.78 : x
  2. Step 2: Convert to fraction form
    492,956.28/680,280.12 = 266,601.78/x
  3. Step 3: Cross multiply
    492,956.28x = 680,280.12 × 266,601.78
  4. Step 4: Simplify right side
    492,956.28x = 181,363,890,890.61
  5. Step 5: Solve for x
    x = 181,363,890,890.61/492,956.28
  6. Step 6: Final answer
    x = 367,910.70

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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.