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Finding the Fourth Proportional to 498,046.62, 687,302.90 and 271,690.50

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Solution

The fourth proportional to 498,046.62, 687,302.90 and 271,690.50 is: 374,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,046.62 : 687,302.90 = 271,690.50 : x
  2. Step 2: Convert to fraction form
    498,046.62/687,302.90 = 271,690.50/x
  3. Step 3: Cross multiply
    498,046.62x = 687,302.90 × 271,690.50
  4. Step 4: Simplify right side
    498,046.62x = 186,733,668,552.45
  5. Step 5: Solve for x
    x = 186,733,668,552.45/498,046.62
  6. Step 6: Final answer
    x = 374,932.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.