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Finding the Fourth Proportional to 482,407.11, 665,614.52 and 278,414.79

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Solution

The fourth proportional to 482,407.11, 665,614.52 and 278,414.79 is: 384,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,407.11 : 665,614.52 = 278,414.79 : x
  2. Step 2: Convert to fraction form
    482,407.11/665,614.52 = 278,414.79/x
  3. Step 3: Cross multiply
    482,407.11x = 665,614.52 × 278,414.79
  4. Step 4: Simplify right side
    482,407.11x = 185,316,925,414.68
  5. Step 5: Solve for x
    x = 185,316,925,414.68/482,407.11
  6. Step 6: Final answer
    x = 384,150.49

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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.