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Finding the Fourth Proportional to 391,910.40, 588,107.52 and 181,509.12

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Solution

The fourth proportional to 391,910.40, 588,107.52 and 181,509.12 is: 272,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,910.40 : 588,107.52 = 181,509.12 : x
  2. Step 2: Convert to fraction form
    391,910.40/588,107.52 = 181,509.12/x
  3. Step 3: Cross multiply
    391,910.40x = 588,107.52 × 181,509.12
  4. Step 4: Simplify right side
    391,910.40x = 106,746,878,420.58
  5. Step 5: Solve for x
    x = 106,746,878,420.58/391,910.40
  6. Step 6: Final answer
    x = 272,375.72

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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.