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Finding the Fourth Proportional to 431,167.70, 646,829.46 and 178,310.86

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Solution

The fourth proportional to 431,167.70, 646,829.46 and 178,310.86 is: 267,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,167.70 : 646,829.46 = 178,310.86 : x
  2. Step 2: Convert to fraction form
    431,167.70/646,829.46 = 178,310.86/x
  3. Step 3: Cross multiply
    431,167.70x = 646,829.46 × 178,310.86
  4. Step 4: Simplify right side
    431,167.70x = 115,336,713,160.23
  5. Step 5: Solve for x
    x = 115,336,713,160.23/431,167.70
  6. Step 6: Final answer
    x = 267,498.50

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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.