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Finding the Fourth Proportional to 491,162.70, 736,744.05 and 280,821.90

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Solution

The fourth proportional to 491,162.70, 736,744.05 and 280,821.90 is: 421,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,162.70 : 736,744.05 = 280,821.90 : x
  2. Step 2: Convert to fraction form
    491,162.70/736,744.05 = 280,821.90/x
  3. Step 3: Cross multiply
    491,162.70x = 736,744.05 × 280,821.90
  4. Step 4: Simplify right side
    491,162.70x = 206,893,863,934.70
  5. Step 5: Solve for x
    x = 206,893,863,934.70/491,162.70
  6. Step 6: Final answer
    x = 421,232.85

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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.