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Finding the Fourth Proportional to 322,410.34, 482,874.00 and 187,139.39

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Solution

The fourth proportional to 322,410.34, 482,874.00 and 187,139.39 is: 280,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,410.34 : 482,874.00 = 187,139.39 : x
  2. Step 2: Convert to fraction form
    322,410.34/482,874.00 = 187,139.39/x
  3. Step 3: Cross multiply
    322,410.34x = 482,874.00 × 187,139.39
  4. Step 4: Simplify right side
    322,410.34x = 90,364,745,933.21
  5. Step 5: Solve for x
    x = 90,364,745,933.21/322,410.34
  6. Step 6: Final answer
    x = 280,278.69

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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.