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Finding the Fourth Proportional to 491,164.89, 736,747.37 and 136,178.92

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Solution

The fourth proportional to 491,164.89, 736,747.37 and 136,178.92 is: 204,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,164.89 : 736,747.37 = 136,178.92 : x
  2. Step 2: Convert to fraction form
    491,164.89/736,747.37 = 136,178.92/x
  3. Step 3: Cross multiply
    491,164.89x = 736,747.37 × 136,178.92
  4. Step 4: Simplify right side
    491,164.89x = 100,329,461,159.44
  5. Step 5: Solve for x
    x = 100,329,461,159.44/491,164.89
  6. Step 6: Final answer
    x = 204,268.39

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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.