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Finding the Fourth Proportional to 497,594,800.80, 746,392,201.20 and 221,245,480.80

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Solution

The fourth proportional to 497,594,800.80, 746,392,201.20 and 221,245,480.80 is: 331,868,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,594,800.80 : 746,392,201.20 = 221,245,480.80 : x
  2. Step 2: Convert to fraction form
    497,594,800.80/746,392,201.20 = 221,245,480.80/x
  3. Step 3: Cross multiply
    497,594,800.80x = 746,392,201.20 × 221,245,480.80
  4. Step 4: Simplify right side
    497,594,800.80x = 165,135,901,419,864,352
  5. Step 5: Solve for x
    x = 165,135,901,419,864,352/497,594,800.80
  6. Step 6: Final answer
    x = 331,868,221.20

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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.