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Finding the Fourth Proportional to 278,876.19, 384,853.29 and 151,551.88

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Solution

The fourth proportional to 278,876.19, 384,853.29 and 151,551.88 is: 209,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,876.19 : 384,853.29 = 151,551.88 : x
  2. Step 2: Convert to fraction form
    278,876.19/384,853.29 = 151,551.88/x
  3. Step 3: Cross multiply
    278,876.19x = 384,853.29 × 151,551.88
  4. Step 4: Simplify right side
    278,876.19x = 58,325,239,623.69
  5. Step 5: Solve for x
    x = 58,325,239,623.69/278,876.19
  6. Step 6: Final answer
    x = 209,143.85

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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.