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Finding the Fourth Proportional to 304,876.80, 457,315.20 and 80,271.90

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Solution

The fourth proportional to 304,876.80, 457,315.20 and 80,271.90 is: 120,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,876.80 : 457,315.20 = 80,271.90 : x
  2. Step 2: Convert to fraction form
    304,876.80/457,315.20 = 80,271.90/x
  3. Step 3: Cross multiply
    304,876.80x = 457,315.20 × 80,271.90
  4. Step 4: Simplify right side
    304,876.80x = 36,709,560,002.88
  5. Step 5: Solve for x
    x = 36,709,560,002.88/304,876.80
  6. Step 6: Final answer
    x = 120,407.85

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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.