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Finding the Fourth Proportional to 458,108.64, 687,227.76 and 142,597.44

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Solution

The fourth proportional to 458,108.64, 687,227.76 and 142,597.44 is: 213,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,108.64 : 687,227.76 = 142,597.44 : x
  2. Step 2: Convert to fraction form
    458,108.64/687,227.76 = 142,597.44/x
  3. Step 3: Cross multiply
    458,108.64x = 687,227.76 × 142,597.44
  4. Step 4: Simplify right side
    458,108.64x = 97,996,919,272.93
  5. Step 5: Solve for x
    x = 97,996,919,272.93/458,108.64
  6. Step 6: Final answer
    x = 213,916.33

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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.