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Finding the Fourth Proportional to 658,442.74, 987,656.91 and 159,806.74

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Solution

The fourth proportional to 658,442.74, 987,656.91 and 159,806.74 is: 239,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,442.74 : 987,656.91 = 159,806.74 : x
  2. Step 2: Convert to fraction form
    658,442.74/987,656.91 = 159,806.74/x
  3. Step 3: Cross multiply
    658,442.74x = 987,656.91 × 159,806.74
  4. Step 4: Simplify right side
    658,442.74x = 157,834,231,025.57
  5. Step 5: Solve for x
    x = 157,834,231,025.57/658,442.74
  6. Step 6: Final answer
    x = 239,708.36

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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.