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Finding the Fourth Proportional to 278,058.39, 417,120.39 and 208,380.57

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Solution

The fourth proportional to 278,058.39, 417,120.39 and 208,380.57 is: 312,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,058.39 : 417,120.39 = 208,380.57 : x
  2. Step 2: Convert to fraction form
    278,058.39/417,120.39 = 208,380.57/x
  3. Step 3: Cross multiply
    278,058.39x = 417,120.39 × 208,380.57
  4. Step 4: Simplify right side
    278,058.39x = 86,919,784,626.82
  5. Step 5: Solve for x
    x = 86,919,784,626.82/278,058.39
  6. Step 6: Final answer
    x = 312,595.44

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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.