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Finding the Fourth Proportional to 491,343.56, 736,640.80 and 154,189.76

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Solution

The fourth proportional to 491,343.56, 736,640.80 and 154,189.76 is: 231,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,343.56 : 736,640.80 = 154,189.76 : x
  2. Step 2: Convert to fraction form
    491,343.56/736,640.80 = 154,189.76/x
  3. Step 3: Cross multiply
    491,343.56x = 736,640.80 × 154,189.76
  4. Step 4: Simplify right side
    491,343.56x = 113,582,468,158.21
  5. Step 5: Solve for x
    x = 113,582,468,158.21/491,343.56
  6. Step 6: Final answer
    x = 231,167.10

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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.