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Finding the Fourth Proportional to 482,253.12, 665,371.20 and 278,288.64

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Solution

The fourth proportional to 482,253.12, 665,371.20 and 278,288.64 is: 383,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,253.12 : 665,371.20 = 278,288.64 : x
  2. Step 2: Convert to fraction form
    482,253.12/665,371.20 = 278,288.64/x
  3. Step 3: Cross multiply
    482,253.12x = 665,371.20 × 278,288.64
  4. Step 4: Simplify right side
    482,253.12x = 185,165,246,343.17
  5. Step 5: Solve for x
    x = 185,165,246,343.17/482,253.12
  6. Step 6: Final answer
    x = 383,958.63

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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.