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Finding the Fourth Proportional to 491,536.72, 736,124.10 and 280,534.96

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Solution

The fourth proportional to 491,536.72, 736,124.10 and 280,534.96 is: 420,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,536.72 : 736,124.10 = 280,534.96 : x
  2. Step 2: Convert to fraction form
    491,536.72/736,124.10 = 280,534.96/x
  3. Step 3: Cross multiply
    491,536.72x = 736,124.10 × 280,534.96
  4. Step 4: Simplify right side
    491,536.72x = 206,508,544,948.54
  5. Step 5: Solve for x
    x = 206,508,544,948.54/491,536.72
  6. Step 6: Final answer
    x = 420,128.42

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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.