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Finding the Fourth Proportional to 278,901.82, 384,882.40 and 151,578.33

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Solution

The fourth proportional to 278,901.82, 384,882.40 and 151,578.33 is: 209,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,901.82 : 384,882.40 = 151,578.33 : x
  2. Step 2: Convert to fraction form
    278,901.82/384,882.40 = 151,578.33/x
  3. Step 3: Cross multiply
    278,901.82x = 384,882.40 × 151,578.33
  4. Step 4: Simplify right side
    278,901.82x = 58,339,831,438.39
  5. Step 5: Solve for x
    x = 58,339,831,438.39/278,901.82
  6. Step 6: Final answer
    x = 209,176.95

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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.