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Finding the Fourth Proportional to 278,248.83, 417,389.39 and 78,552.49

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Solution

The fourth proportional to 278,248.83, 417,389.39 and 78,552.49 is: 117,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,248.83 : 417,389.39 = 78,552.49 : x
  2. Step 2: Convert to fraction form
    278,248.83/417,389.39 = 78,552.49/x
  3. Step 3: Cross multiply
    278,248.83x = 417,389.39 × 78,552.49
  4. Step 4: Simplify right side
    278,248.83x = 32,786,975,884.08
  5. Step 5: Solve for x
    x = 32,786,975,884.08/278,248.83
  6. Step 6: Final answer
    x = 117,833.29

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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.