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Finding the Fourth Proportional to 498,909.84, 688,480.20 and 284,080.56

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Solution

The fourth proportional to 498,909.84, 688,480.20 and 284,080.56 is: 392,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,909.84 : 688,480.20 = 284,080.56 : x
  2. Step 2: Convert to fraction form
    498,909.84/688,480.20 = 284,080.56/x
  3. Step 3: Cross multiply
    498,909.84x = 688,480.20 × 284,080.56
  4. Step 4: Simplify right side
    498,909.84x = 195,583,840,764.91
  5. Step 5: Solve for x
    x = 195,583,840,764.91/498,909.84
  6. Step 6: Final answer
    x = 392,022.42

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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.