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Finding the Fourth Proportional to 491,678.20, 736,998.90 and 280,862.20

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Solution

The fourth proportional to 491,678.20, 736,998.90 and 280,862.20 is: 420,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,678.20 : 736,998.90 = 280,862.20 : x
  2. Step 2: Convert to fraction form
    491,678.20/736,998.90 = 280,862.20/x
  3. Step 3: Cross multiply
    491,678.20x = 736,998.90 × 280,862.20
  4. Step 4: Simplify right side
    491,678.20x = 206,995,132,451.58
  5. Step 5: Solve for x
    x = 206,995,132,451.58/491,678.20
  6. Step 6: Final answer
    x = 420,997.17

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1.5x scale

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.