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Finding the Fourth Proportional to 499,398.28, 689,000.82 and 284,385.88

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Solution

The fourth proportional to 499,398.28, 689,000.82 and 284,385.88 is: 392,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,398.28 : 689,000.82 = 284,385.88 : x
  2. Step 2: Convert to fraction form
    499,398.28/689,000.82 = 284,385.88/x
  3. Step 3: Cross multiply
    499,398.28x = 689,000.82 × 284,385.88
  4. Step 4: Simplify right side
    499,398.28x = 195,942,104,516.42
  5. Step 5: Solve for x
    x = 195,942,104,516.42/499,398.28
  6. Step 6: Final answer
    x = 392,356.39

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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.