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Finding the Fourth Proportional to 305,140.91, 457,659.11 and 80,503.66

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Solution

The fourth proportional to 305,140.91, 457,659.11 and 80,503.66 is: 120,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,140.91 : 457,659.11 = 80,503.66 : x
  2. Step 2: Convert to fraction form
    305,140.91/457,659.11 = 80,503.66/x
  3. Step 3: Cross multiply
    305,140.91x = 457,659.11 × 80,503.66
  4. Step 4: Simplify right side
    305,140.91x = 36,843,231,586.34
  5. Step 5: Solve for x
    x = 36,843,231,586.34/305,140.91
  6. Step 6: Final answer
    x = 120,741.70

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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.