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Finding the Fourth Proportional to 278,835.42, 418,254.54 and 68,473.44

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Solution

The fourth proportional to 278,835.42, 418,254.54 and 68,473.44 is: 102,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,835.42 : 418,254.54 = 68,473.44 : x
  2. Step 2: Convert to fraction form
    278,835.42/418,254.54 = 68,473.44/x
  3. Step 3: Cross multiply
    278,835.42x = 418,254.54 × 68,473.44
  4. Step 4: Simplify right side
    278,835.42x = 28,639,327,149.42
  5. Step 5: Solve for x
    x = 28,639,327,149.42/278,835.42
  6. Step 6: Final answer
    x = 102,710.51

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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.