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Finding the Fourth Proportional to 391,498.30, 587,356.80 and 191,825.20

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Solution

The fourth proportional to 391,498.30, 587,356.80 and 191,825.20 is: 287,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,498.30 : 587,356.80 = 191,825.20 : x
  2. Step 2: Convert to fraction form
    391,498.30/587,356.80 = 191,825.20/x
  3. Step 3: Cross multiply
    391,498.30x = 587,356.80 × 191,825.20
  4. Step 4: Simplify right side
    391,498.30x = 112,669,835,631.36
  5. Step 5: Solve for x
    x = 112,669,835,631.36/391,498.30
  6. Step 6: Final answer
    x = 287,791.38

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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.