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Finding the Fourth Proportional to 218,662,650.80, 328,119,947.40 and 82,445,793.20

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Solution

The fourth proportional to 218,662,650.80, 328,119,947.40 and 82,445,793.20 is: 123,716,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,662,650.80 : 328,119,947.40 = 82,445,793.20 : x
  2. Step 2: Convert to fraction form
    218,662,650.80/328,119,947.40 = 82,445,793.20/x
  3. Step 3: Cross multiply
    218,662,650.80x = 328,119,947.40 × 82,445,793.20
  4. Step 4: Simplify right side
    218,662,650.80x = 27,052,109,328,135,276
  5. Step 5: Solve for x
    x = 27,052,109,328,135,276/218,662,650.80
  6. Step 6: Final answer
    x = 123,716,186.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.