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Finding the Fourth Proportional to 203,562.43, 280,657.85 and 145,488.47

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Solution

The fourth proportional to 203,562.43, 280,657.85 and 145,488.47 is: 200,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,562.43 : 280,657.85 = 145,488.47 : x
  2. Step 2: Convert to fraction form
    203,562.43/280,657.85 = 145,488.47/x
  3. Step 3: Cross multiply
    203,562.43x = 280,657.85 × 145,488.47
  4. Step 4: Simplify right side
    203,562.43x = 40,832,479,059.26
  5. Step 5: Solve for x
    x = 40,832,479,059.26/203,562.43
  6. Step 6: Final answer
    x = 200,589.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.