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Finding the Fourth Proportional to 278,643.38, 384,524.46 and 151,319.88

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Solution

The fourth proportional to 278,643.38, 384,524.46 and 151,319.88 is: 208,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,643.38 : 384,524.46 = 151,319.88 : x
  2. Step 2: Convert to fraction form
    278,643.38/384,524.46 = 151,319.88/x
  3. Step 3: Cross multiply
    278,643.38x = 384,524.46 × 151,319.88
  4. Step 4: Simplify right side
    278,643.38x = 58,186,195,144.26
  5. Step 5: Solve for x
    x = 58,186,195,144.26/278,643.38
  6. Step 6: Final answer
    x = 208,819.59

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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.