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Finding the Fourth Proportional to 491,532.72, 736,118.10 and 280,530.96

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Solution

The fourth proportional to 491,532.72, 736,118.10 and 280,530.96 is: 420,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,532.72 : 736,118.10 = 280,530.96 : x
  2. Step 2: Convert to fraction form
    491,532.72/736,118.10 = 280,530.96/x
  3. Step 3: Cross multiply
    491,532.72x = 736,118.10 × 280,530.96
  4. Step 4: Simplify right side
    491,532.72x = 206,503,917,266.38
  5. Step 5: Solve for x
    x = 206,503,917,266.38/491,532.72
  6. Step 6: Final answer
    x = 420,122.42

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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.