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Finding the Fourth Proportional to 278,371.08, 417,482.10 and 78,644.52

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Solution

The fourth proportional to 278,371.08, 417,482.10 and 78,644.52 is: 117,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,371.08 : 417,482.10 = 78,644.52 : x
  2. Step 2: Convert to fraction form
    278,371.08/417,482.10 = 78,644.52/x
  3. Step 3: Cross multiply
    278,371.08x = 417,482.10 × 78,644.52
  4. Step 4: Simplify right side
    278,371.08x = 32,832,679,363.09
  5. Step 5: Solve for x
    x = 32,832,679,363.09/278,371.08
  6. Step 6: Final answer
    x = 117,945.73

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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.