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Finding the Fourth Proportional to 278,947.60, 385,046.40 and 165,769

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Solution

The fourth proportional to 278,947.60, 385,046.40 and 165,769 is: 228,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,947.60 : 385,046.40 = 165,769 : x
  2. Step 2: Convert to fraction form
    278,947.60/385,046.40 = 165,769/x
  3. Step 3: Cross multiply
    278,947.60x = 385,046.40 × 165,769
  4. Step 4: Simplify right side
    278,947.60x = 63,828,756,681.60
  5. Step 5: Solve for x
    x = 63,828,756,681.60/278,947.60
  6. Step 6: Final answer
    x = 228,819.88

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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.