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Finding the Fourth Proportional to 278,768.80, 384,733.92 and 165,592

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Solution

The fourth proportional to 278,768.80, 384,733.92 and 165,592 is: 228,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,768.80 : 384,733.92 = 165,592 : x
  2. Step 2: Convert to fraction form
    278,768.80/384,733.92 = 165,592/x
  3. Step 3: Cross multiply
    278,768.80x = 384,733.92 × 165,592
  4. Step 4: Simplify right side
    278,768.80x = 63,708,859,280.64
  5. Step 5: Solve for x
    x = 63,708,859,280.64/278,768.80
  6. Step 6: Final answer
    x = 228,536.55

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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.