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Finding the Fourth Proportional to 278,832, 418,012.80 and 120,941.52

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Solution

The fourth proportional to 278,832, 418,012.80 and 120,941.52 is: 181,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,832 : 418,012.80 = 120,941.52 : x
  2. Step 2: Convert to fraction form
    278,832/418,012.80 = 120,941.52/x
  3. Step 3: Cross multiply
    278,832x = 418,012.80 × 120,941.52
  4. Step 4: Simplify right side
    278,832x = 50,555,103,411.46
  5. Step 5: Solve for x
    x = 50,555,103,411.46/278,832
  6. Step 6: Final answer
    x = 181,310.26

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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.