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Finding the Fourth Proportional to 458,435.43, 687,920.85 and 192,175.47

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Solution

The fourth proportional to 458,435.43, 687,920.85 and 192,175.47 is: 288,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,435.43 : 687,920.85 = 192,175.47 : x
  2. Step 2: Convert to fraction form
    458,435.43/687,920.85 = 192,175.47/x
  3. Step 3: Cross multiply
    458,435.43x = 687,920.85 × 192,175.47
  4. Step 4: Simplify right side
    458,435.43x = 132,201,512,671.55
  5. Step 5: Solve for x
    x = 132,201,512,671.55/458,435.43
  6. Step 6: Final answer
    x = 288,375.43

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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.