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Finding the Fourth Proportional to 331,047, 496,572.12 and 81,729

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Solution

The fourth proportional to 331,047, 496,572.12 and 81,729 is: 122,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,047 : 496,572.12 = 81,729 : x
  2. Step 2: Convert to fraction form
    331,047/496,572.12 = 81,729/x
  3. Step 3: Cross multiply
    331,047x = 496,572.12 × 81,729
  4. Step 4: Simplify right side
    331,047x = 40,584,342,795.48
  5. Step 5: Solve for x
    x = 40,584,342,795.48/331,047
  6. Step 6: Final answer
    x = 122,593.90

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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.