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Finding the Fourth Proportional to 283,251.60, 424,614.96 and 142,847.28

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Solution

The fourth proportional to 283,251.60, 424,614.96 and 142,847.28 is: 214,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,251.60 : 424,614.96 = 142,847.28 : x
  2. Step 2: Convert to fraction form
    283,251.60/424,614.96 = 142,847.28/x
  3. Step 3: Cross multiply
    283,251.60x = 424,614.96 × 142,847.28
  4. Step 4: Simplify right side
    283,251.60x = 60,655,092,083.31
  5. Step 5: Solve for x
    x = 60,655,092,083.31/283,251.60
  6. Step 6: Final answer
    x = 214,138.57

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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.