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Finding the Fourth Proportional to 658,218, 987,330.24 and 159,582

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Solution

The fourth proportional to 658,218, 987,330.24 and 159,582 is: 239,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,218 : 987,330.24 = 159,582 : x
  2. Step 2: Convert to fraction form
    658,218/987,330.24 = 159,582/x
  3. Step 3: Cross multiply
    658,218x = 987,330.24 × 159,582
  4. Step 4: Simplify right side
    658,218x = 157,560,134,359.68
  5. Step 5: Solve for x
    x = 157,560,134,359.68/658,218
  6. Step 6: Final answer
    x = 239,373.79

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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.