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Finding the Fourth Proportional to 551,113.61, 826,294.57 and 280,576.85

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Solution

The fourth proportional to 551,113.61, 826,294.57 and 280,576.85 is: 420,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,113.61 : 826,294.57 = 280,576.85 : x
  2. Step 2: Convert to fraction form
    551,113.61/826,294.57 = 280,576.85/x
  3. Step 3: Cross multiply
    551,113.61x = 826,294.57 × 280,576.85
  4. Step 4: Simplify right side
    551,113.61x = 231,839,122,789.79
  5. Step 5: Solve for x
    x = 231,839,122,789.79/551,113.61
  6. Step 6: Final answer
    x = 420,673.92

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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.