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Finding the Fourth Proportional to 278,634.74, 418,099.73 and 120,973.91

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Solution

The fourth proportional to 278,634.74, 418,099.73 and 120,973.91 is: 181,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,634.74 : 418,099.73 = 120,973.91 : x
  2. Step 2: Convert to fraction form
    278,634.74/418,099.73 = 120,973.91/x
  3. Step 3: Cross multiply
    278,634.74x = 418,099.73 × 120,973.91
  4. Step 4: Simplify right side
    278,634.74x = 50,579,156,412.68
  5. Step 5: Solve for x
    x = 50,579,156,412.68/278,634.74
  6. Step 6: Final answer
    x = 181,524.95

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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.