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Finding the Fourth Proportional to 331,505.42, 497,167.13 and 91,561.95

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Solution

The fourth proportional to 331,505.42, 497,167.13 and 91,561.95 is: 137,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,505.42 : 497,167.13 = 91,561.95 : x
  2. Step 2: Convert to fraction form
    331,505.42/497,167.13 = 91,561.95/x
  3. Step 3: Cross multiply
    331,505.42x = 497,167.13 × 91,561.95
  4. Step 4: Simplify right side
    331,505.42x = 45,521,591,440.89
  5. Step 5: Solve for x
    x = 45,521,591,440.89/331,505.42
  6. Step 6: Final answer
    x = 137,317.79

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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.