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Finding the Fourth Proportional to 278,463.34, 384,279.76 and 151,138.97

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Solution

The fourth proportional to 278,463.34, 384,279.76 and 151,138.97 is: 208,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,463.34 : 384,279.76 = 151,138.97 : x
  2. Step 2: Convert to fraction form
    278,463.34/384,279.76 = 151,138.97/x
  3. Step 3: Cross multiply
    278,463.34x = 384,279.76 × 151,138.97
  4. Step 4: Simplify right side
    278,463.34x = 58,079,647,118.25
  5. Step 5: Solve for x
    x = 58,079,647,118.25/278,463.34
  6. Step 6: Final answer
    x = 208,571.97

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1.5x scale

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.