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Finding the Fourth Proportional to 278,206.05, 417,341.76 and 88,600.05

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Solution

The fourth proportional to 278,206.05, 417,341.76 and 88,600.05 is: 132,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,206.05 : 417,341.76 = 88,600.05 : x
  2. Step 2: Convert to fraction form
    278,206.05/417,341.76 = 88,600.05/x
  3. Step 3: Cross multiply
    278,206.05x = 417,341.76 × 88,600.05
  4. Step 4: Simplify right side
    278,206.05x = 36,976,500,803.09
  5. Step 5: Solve for x
    x = 36,976,500,803.09/278,206.05
  6. Step 6: Final answer
    x = 132,910.48

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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.