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Finding the Fourth Proportional to 431,254.52, 647,006.50 and 178,488.28

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Solution

The fourth proportional to 431,254.52, 647,006.50 and 178,488.28 is: 267,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,254.52 : 647,006.50 = 178,488.28 : x
  2. Step 2: Convert to fraction form
    431,254.52/647,006.50 = 178,488.28/x
  3. Step 3: Cross multiply
    431,254.52x = 647,006.50 × 178,488.28
  4. Step 4: Simplify right side
    431,254.52x = 115,483,077,333.82
  5. Step 5: Solve for x
    x = 115,483,077,333.82/431,254.52
  6. Step 6: Final answer
    x = 267,784.04

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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.