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Finding the Fourth Proportional to 463,710.62, 694,660.38 and 319,590.66

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Solution

The fourth proportional to 463,710.62, 694,660.38 and 319,590.66 is: 478,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,710.62 : 694,660.38 = 319,590.66 : x
  2. Step 2: Convert to fraction form
    463,710.62/694,660.38 = 319,590.66/x
  3. Step 3: Cross multiply
    463,710.62x = 694,660.38 × 319,590.66
  4. Step 4: Simplify right side
    463,710.62x = 222,006,969,320.05
  5. Step 5: Solve for x
    x = 222,006,969,320.05/463,710.62
  6. Step 6: Final answer
    x = 478,761.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.