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Finding the Fourth Proportional to 305,691.18, 458,549.19 and 77,992.71

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Solution

The fourth proportional to 305,691.18, 458,549.19 and 77,992.71 is: 116,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,691.18 : 458,549.19 = 77,992.71 : x
  2. Step 2: Convert to fraction form
    305,691.18/458,549.19 = 77,992.71/x
  3. Step 3: Cross multiply
    305,691.18x = 458,549.19 × 77,992.71
  4. Step 4: Simplify right side
    305,691.18x = 35,763,493,996.40
  5. Step 5: Solve for x
    x = 35,763,493,996.40/305,691.18
  6. Step 6: Final answer
    x = 116,992.23

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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.