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Finding the Fourth Proportional to 305,768.12, 458,306.12 and 155,691.38

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Solution

The fourth proportional to 305,768.12, 458,306.12 and 155,691.38 is: 233,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,768.12 : 458,306.12 = 155,691.38 : x
  2. Step 2: Convert to fraction form
    305,768.12/458,306.12 = 155,691.38/x
  3. Step 3: Cross multiply
    305,768.12x = 458,306.12 × 155,691.38
  4. Step 4: Simplify right side
    305,768.12x = 71,354,312,944.48
  5. Step 5: Solve for x
    x = 71,354,312,944.48/305,768.12
  6. Step 6: Final answer
    x = 233,360.87

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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.