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Finding the Fourth Proportional to 275,863,481.80, 413,326,947.12 and 166,458,758.20

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Solution

The fourth proportional to 275,863,481.80, 413,326,947.12 and 166,458,758.20 is: 249,405,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,863,481.80 : 413,326,947.12 = 166,458,758.20 : x
  2. Step 2: Convert to fraction form
    275,863,481.80/413,326,947.12 = 166,458,758.20/x
  3. Step 3: Cross multiply
    275,863,481.80x = 413,326,947.12 × 166,458,758.20
  4. Step 4: Simplify right side
    275,863,481.80x = 68,801,890,346,534,720
  5. Step 5: Solve for x
    x = 68,801,890,346,534,720/275,863,481.80
  6. Step 6: Final answer
    x = 249,405,575.17

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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.