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Finding the Fourth Proportional to 391,841.30, 588,024.09 and 142,523.30

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Solution

The fourth proportional to 391,841.30, 588,024.09 and 142,523.30 is: 213,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,841.30 : 588,024.09 = 142,523.30 : x
  2. Step 2: Convert to fraction form
    391,841.30/588,024.09 = 142,523.30/x
  3. Step 3: Cross multiply
    391,841.30x = 588,024.09 × 142,523.30
  4. Step 4: Simplify right side
    391,841.30x = 83,807,133,786.30
  5. Step 5: Solve for x
    x = 83,807,133,786.30/391,841.30
  6. Step 6: Final answer
    x = 213,880.30

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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.