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Finding the Fourth Proportional to 498,998.62, 688,624.67 and 284,139.54

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Solution

The fourth proportional to 498,998.62, 688,624.67 and 284,139.54 is: 392,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,998.62 : 688,624.67 = 284,139.54 : x
  2. Step 2: Convert to fraction form
    498,998.62/688,624.67 = 284,139.54/x
  3. Step 3: Cross multiply
    498,998.62x = 688,624.67 × 284,139.54
  4. Step 4: Simplify right side
    498,998.62x = 195,665,496,966.45
  5. Step 5: Solve for x
    x = 195,665,496,966.45/498,998.62
  6. Step 6: Final answer
    x = 392,116.31

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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.