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Finding the Fourth Proportional to 322,410.76, 482,874.63 and 187,139.81

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Solution

The fourth proportional to 322,410.76, 482,874.63 and 187,139.81 is: 280,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,410.76 : 482,874.63 = 187,139.81 : x
  2. Step 2: Convert to fraction form
    322,410.76/482,874.63 = 187,139.81/x
  3. Step 3: Cross multiply
    322,410.76x = 482,874.63 × 187,139.81
  4. Step 4: Simplify right side
    322,410.76x = 90,365,067,719.21
  5. Step 5: Solve for x
    x = 90,365,067,719.21/322,410.76
  6. Step 6: Final answer
    x = 280,279.32

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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.