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Finding the Fourth Proportional to 499,151.16, 688,813.20 and 284,321.88

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Solution

The fourth proportional to 499,151.16, 688,813.20 and 284,321.88 is: 392,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,151.16 : 688,813.20 = 284,321.88 : x
  2. Step 2: Convert to fraction form
    499,151.16/688,813.20 = 284,321.88/x
  3. Step 3: Cross multiply
    499,151.16x = 688,813.20 × 284,321.88
  4. Step 4: Simplify right side
    499,151.16x = 195,844,663,992.82
  5. Step 5: Solve for x
    x = 195,844,663,992.82/499,151.16
  6. Step 6: Final answer
    x = 392,355.42

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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.