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Finding the Fourth Proportional to 500,502.62, 690,710.82 and 274,148.12

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Solution

The fourth proportional to 500,502.62, 690,710.82 and 274,148.12 is: 378,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,502.62 : 690,710.82 = 274,148.12 : x
  2. Step 2: Convert to fraction form
    500,502.62/690,710.82 = 274,148.12/x
  3. Step 3: Cross multiply
    500,502.62x = 690,710.82 × 274,148.12
  4. Step 4: Simplify right side
    500,502.62x = 189,357,072,766.66
  5. Step 5: Solve for x
    x = 189,357,072,766.66/500,502.62
  6. Step 6: Final answer
    x = 378,333.83

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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.