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Finding the Fourth Proportional to 305,120.74, 457,711.86 and 80,496.70

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Solution

The fourth proportional to 305,120.74, 457,711.86 and 80,496.70 is: 120,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,120.74 : 457,711.86 = 80,496.70 : x
  2. Step 2: Convert to fraction form
    305,120.74/457,711.86 = 80,496.70/x
  3. Step 3: Cross multiply
    305,120.74x = 457,711.86 × 80,496.70
  4. Step 4: Simplify right side
    305,120.74x = 36,844,294,280.86
  5. Step 5: Solve for x
    x = 36,844,294,280.86/305,120.74
  6. Step 6: Final answer
    x = 120,753.16

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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.