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Finding the Fourth Proportional to 485,434.42, 726,200.34 and 419,581.42

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Solution

The fourth proportional to 485,434.42, 726,200.34 and 419,581.42 is: 627,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,434.42 : 726,200.34 = 419,581.42 : x
  2. Step 2: Convert to fraction form
    485,434.42/726,200.34 = 419,581.42/x
  3. Step 3: Cross multiply
    485,434.42x = 726,200.34 × 419,581.42
  4. Step 4: Simplify right side
    485,434.42x = 304,700,166,472.75
  5. Step 5: Solve for x
    x = 304,700,166,472.75/485,434.42
  6. Step 6: Final answer
    x = 627,685.54

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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.