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Finding the Fourth Proportional to 442,938.70, 664,472.85 and 143,368.30

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Solution

The fourth proportional to 442,938.70, 664,472.85 and 143,368.30 is: 215,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,938.70 : 664,472.85 = 143,368.30 : x
  2. Step 2: Convert to fraction form
    442,938.70/664,472.85 = 143,368.30/x
  3. Step 3: Cross multiply
    442,938.70x = 664,472.85 × 143,368.30
  4. Step 4: Simplify right side
    442,938.70x = 95,264,342,900.66
  5. Step 5: Solve for x
    x = 95,264,342,900.66/442,938.70
  6. Step 6: Final answer
    x = 215,073.42

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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.