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Finding the Fourth Proportional to 278,742, 384,781.64 and 188,220.52

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Solution

The fourth proportional to 278,742, 384,781.64 and 188,220.52 is: 259,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,742 : 384,781.64 = 188,220.52 : x
  2. Step 2: Convert to fraction form
    278,742/384,781.64 = 188,220.52/x
  3. Step 3: Cross multiply
    278,742x = 384,781.64 × 188,220.52
  4. Step 4: Simplify right side
    278,742x = 72,423,800,367.25
  5. Step 5: Solve for x
    x = 72,423,800,367.25/278,742
  6. Step 6: Final answer
    x = 259,823.78

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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.