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Finding the Fourth Proportional to 278,371.68, 384,151.92 and 151,044.96

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Solution

The fourth proportional to 278,371.68, 384,151.92 and 151,044.96 is: 208,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,371.68 : 384,151.92 = 151,044.96 : x
  2. Step 2: Convert to fraction form
    278,371.68/384,151.92 = 151,044.96/x
  3. Step 3: Cross multiply
    278,371.68x = 384,151.92 × 151,044.96
  4. Step 4: Simplify right side
    278,371.68x = 58,024,211,390.32
  5. Step 5: Solve for x
    x = 58,024,211,390.32/278,371.68
  6. Step 6: Final answer
    x = 208,441.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.