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Finding the Fourth Proportional to 499,123.80, 688,790.92 and 284,283.86

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Solution

The fourth proportional to 499,123.80, 688,790.92 and 284,283.86 is: 392,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,123.80 : 688,790.92 = 284,283.86 : x
  2. Step 2: Convert to fraction form
    499,123.80/688,790.92 = 284,283.86/x
  3. Step 3: Cross multiply
    499,123.80x = 688,790.92 × 284,283.86
  4. Step 4: Simplify right side
    499,123.80x = 195,812,141,470.55
  5. Step 5: Solve for x
    x = 195,812,141,470.55/499,123.80
  6. Step 6: Final answer
    x = 392,311.77

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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.