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Finding the Fourth Proportional to 657,761.37, 986,470.78 and 278,486.88

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Solution

The fourth proportional to 657,761.37, 986,470.78 and 278,486.88 is: 417,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,761.37 : 986,470.78 = 278,486.88 : x
  2. Step 2: Convert to fraction form
    657,761.37/986,470.78 = 278,486.88/x
  3. Step 3: Cross multiply
    657,761.37x = 986,470.78 × 278,486.88
  4. Step 4: Simplify right side
    657,761.37x = 274,719,169,733.37
  5. Step 5: Solve for x
    x = 274,719,169,733.37/657,761.37
  6. Step 6: Final answer
    x = 417,657.80

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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.