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Finding the Fourth Proportional to 442,951.40, 664,524.30 and 143,445.80

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Solution

The fourth proportional to 442,951.40, 664,524.30 and 143,445.80 is: 215,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,951.40 : 664,524.30 = 143,445.80 : x
  2. Step 2: Convert to fraction form
    442,951.40/664,524.30 = 143,445.80/x
  3. Step 3: Cross multiply
    442,951.40x = 664,524.30 × 143,445.80
  4. Step 4: Simplify right side
    442,951.40x = 95,323,219,832.94
  5. Step 5: Solve for x
    x = 95,323,219,832.94/442,951.40
  6. Step 6: Final answer
    x = 215,200.18

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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.