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Finding the Fourth Proportional to 482,129.78, 665,333.84 and 278,178.26

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Solution

The fourth proportional to 482,129.78, 665,333.84 and 278,178.26 is: 383,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,129.78 : 665,333.84 = 278,178.26 : x
  2. Step 2: Convert to fraction form
    482,129.78/665,333.84 = 278,178.26/x
  3. Step 3: Cross multiply
    482,129.78x = 665,333.84 × 278,178.26
  4. Step 4: Simplify right side
    482,129.78x = 185,081,409,930.32
  5. Step 5: Solve for x
    x = 185,081,409,930.32/482,129.78
  6. Step 6: Final answer
    x = 383,882.97

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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.