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Finding the Fourth Proportional to 458,153.34, 687,328.71 and 138,278.43

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Solution

The fourth proportional to 458,153.34, 687,328.71 and 138,278.43 is: 207,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,153.34 : 687,328.71 = 138,278.43 : x
  2. Step 2: Convert to fraction form
    458,153.34/687,328.71 = 138,278.43/x
  3. Step 3: Cross multiply
    458,153.34x = 687,328.71 × 138,278.43
  4. Step 4: Simplify right side
    458,153.34x = 95,042,734,912.73
  5. Step 5: Solve for x
    x = 95,042,734,912.73/458,153.34
  6. Step 6: Final answer
    x = 207,447.43

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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.