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Finding the Fourth Proportional to 278,954.71, 384,958.05 and 151,630

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Solution

The fourth proportional to 278,954.71, 384,958.05 and 151,630 is: 209,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,954.71 : 384,958.05 = 151,630 : x
  2. Step 2: Convert to fraction form
    278,954.71/384,958.05 = 151,630/x
  3. Step 3: Cross multiply
    278,954.71x = 384,958.05 × 151,630
  4. Step 4: Simplify right side
    278,954.71x = 58,371,189,121.50
  5. Step 5: Solve for x
    x = 58,371,189,121.50/278,954.71
  6. Step 6: Final answer
    x = 209,249.70

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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.