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Finding the Fourth Proportional to 278,254.62, 383,956.47 and 165,055.50

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Solution

The fourth proportional to 278,254.62, 383,956.47 and 165,055.50 is: 227,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,254.62 : 383,956.47 = 165,055.50 : x
  2. Step 2: Convert to fraction form
    278,254.62/383,956.47 = 165,055.50/x
  3. Step 3: Cross multiply
    278,254.62x = 383,956.47 × 165,055.50
  4. Step 4: Simplify right side
    278,254.62x = 63,374,127,134.09
  5. Step 5: Solve for x
    x = 63,374,127,134.09/278,254.62
  6. Step 6: Final answer
    x = 227,755.88

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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.