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Finding the Fourth Proportional to 638,761.24, 957,978.42 and 189,377.02

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Solution

The fourth proportional to 638,761.24, 957,978.42 and 189,377.02 is: 284,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,761.24 : 957,978.42 = 189,377.02 : x
  2. Step 2: Convert to fraction form
    638,761.24/957,978.42 = 189,377.02/x
  3. Step 3: Cross multiply
    638,761.24x = 957,978.42 × 189,377.02
  4. Step 4: Simplify right side
    638,761.24x = 181,419,098,403.91
  5. Step 5: Solve for x
    x = 181,419,098,403.91/638,761.24
  6. Step 6: Final answer
    x = 284,017.07

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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.