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Finding the Fourth Proportional to 491,044.78, 736,598.31 and 154,098.72

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Solution

The fourth proportional to 491,044.78, 736,598.31 and 154,098.72 is: 231,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,044.78 : 736,598.31 = 154,098.72 : x
  2. Step 2: Convert to fraction form
    491,044.78/736,598.31 = 154,098.72/x
  3. Step 3: Cross multiply
    491,044.78x = 736,598.31 × 154,098.72
  4. Step 4: Simplify right side
    491,044.78x = 113,508,856,147.29
  5. Step 5: Solve for x
    x = 113,508,856,147.29/491,044.78
  6. Step 6: Final answer
    x = 231,157.85

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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.