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Finding the Fourth Proportional to 305,151.67, 457,650.92 and 145,128.85

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Solution

The fourth proportional to 305,151.67, 457,650.92 and 145,128.85 is: 217,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,151.67 : 457,650.92 = 145,128.85 : x
  2. Step 2: Convert to fraction form
    305,151.67/457,650.92 = 145,128.85/x
  3. Step 3: Cross multiply
    305,151.67x = 457,650.92 × 145,128.85
  4. Step 4: Simplify right side
    305,151.67x = 66,418,350,995.40
  5. Step 5: Solve for x
    x = 66,418,350,995.40/305,151.67
  6. Step 6: Final answer
    x = 217,656.85

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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.