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Finding the Fourth Proportional to 658,219, 987,331.74 and 159,583

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Solution

The fourth proportional to 658,219, 987,331.74 and 159,583 is: 239,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,219 : 987,331.74 = 159,583 : x
  2. Step 2: Convert to fraction form
    658,219/987,331.74 = 159,583/x
  3. Step 3: Cross multiply
    658,219x = 987,331.74 × 159,583
  4. Step 4: Simplify right side
    658,219x = 157,561,361,064.42
  5. Step 5: Solve for x
    x = 157,561,361,064.42/658,219
  6. Step 6: Final answer
    x = 239,375.29

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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.