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Finding the Fourth Proportional to 305,233.20, 457,525.80 and 147,358.80

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Solution

The fourth proportional to 305,233.20, 457,525.80 and 147,358.80 is: 220,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,233.20 : 457,525.80 = 147,358.80 : x
  2. Step 2: Convert to fraction form
    305,233.20/457,525.80 = 147,358.80/x
  3. Step 3: Cross multiply
    305,233.20x = 457,525.80 × 147,358.80
  4. Step 4: Simplify right side
    305,233.20x = 67,420,452,857.04
  5. Step 5: Solve for x
    x = 67,420,452,857.04/305,233.20
  6. Step 6: Final answer
    x = 220,881.78

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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.