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Finding the Fourth Proportional to 278,269.83, 417,383.78 and 88,722.54

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Solution

The fourth proportional to 278,269.83, 417,383.78 and 88,722.54 is: 133,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,269.83 : 417,383.78 = 88,722.54 : x
  2. Step 2: Convert to fraction form
    278,269.83/417,383.78 = 88,722.54/x
  3. Step 3: Cross multiply
    278,269.83x = 417,383.78 × 88,722.54
  4. Step 4: Simplify right side
    278,269.83x = 37,031,348,672.79
  5. Step 5: Solve for x
    x = 37,031,348,672.79/278,269.83
  6. Step 6: Final answer
    x = 133,077.12

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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.