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Finding the Fourth Proportional to 278,057.39, 417,118.89 and 208,379.57

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Solution

The fourth proportional to 278,057.39, 417,118.89 and 208,379.57 is: 312,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,057.39 : 417,118.89 = 208,379.57 : x
  2. Step 2: Convert to fraction form
    278,057.39/417,118.89 = 208,379.57/x
  3. Step 3: Cross multiply
    278,057.39x = 417,118.89 × 208,379.57
  4. Step 4: Simplify right side
    278,057.39x = 86,919,052,851.48
  5. Step 5: Solve for x
    x = 86,919,052,851.48/278,057.39
  6. Step 6: Final answer
    x = 312,593.94

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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.