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Finding the Fourth Proportional to 442,812.20, 664,218.30 and 418,317.80

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Solution

The fourth proportional to 442,812.20, 664,218.30 and 418,317.80 is: 627,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,812.20 : 664,218.30 = 418,317.80 : x
  2. Step 2: Convert to fraction form
    442,812.20/664,218.30 = 418,317.80/x
  3. Step 3: Cross multiply
    442,812.20x = 664,218.30 × 418,317.80
  4. Step 4: Simplify right side
    442,812.20x = 277,854,337,975.74
  5. Step 5: Solve for x
    x = 277,854,337,975.74/442,812.20
  6. Step 6: Final answer
    x = 627,476.70

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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.