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Finding the Fourth Proportional to 442,920.59, 664,486.70 and 143,401.49

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Solution

The fourth proportional to 442,920.59, 664,486.70 and 143,401.49 is: 215,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920.59 : 664,486.70 = 143,401.49 : x
  2. Step 2: Convert to fraction form
    442,920.59/664,486.70 = 143,401.49/x
  3. Step 3: Cross multiply
    442,920.59x = 664,486.70 × 143,401.49
  4. Step 4: Simplify right side
    442,920.59x = 95,288,378,825.74
  5. Step 5: Solve for x
    x = 95,288,378,825.74/442,920.59
  6. Step 6: Final answer
    x = 215,136.49

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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.