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Finding the Fourth Proportional to 657,761.12, 986,470.41 and 278,486.63

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Solution

The fourth proportional to 657,761.12, 986,470.41 and 278,486.63 is: 417,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,761.12 : 986,470.41 = 278,486.63 : x
  2. Step 2: Convert to fraction form
    657,761.12/986,470.41 = 278,486.63/x
  3. Step 3: Cross multiply
    657,761.12x = 986,470.41 × 278,486.63
  4. Step 4: Simplify right side
    657,761.12x = 274,718,815,143.27
  5. Step 5: Solve for x
    x = 274,718,815,143.27/657,761.12
  6. Step 6: Final answer
    x = 417,657.43

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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.