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Finding the Fourth Proportional to 657,996.39, 986,793.62 and 278,910

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Solution

The fourth proportional to 657,996.39, 986,793.62 and 278,910 is: 418,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,996.39 : 986,793.62 = 278,910 : x
  2. Step 2: Convert to fraction form
    657,996.39/986,793.62 = 278,910/x
  3. Step 3: Cross multiply
    657,996.39x = 986,793.62 × 278,910
  4. Step 4: Simplify right side
    657,996.39x = 275,226,607,159.65
  5. Step 5: Solve for x
    x = 275,226,607,159.65/657,996.39
  6. Step 6: Final answer
    x = 418,279.81

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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.