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Finding the Fourth Proportional to 272,945,854.40, 409,642,730.40 and 263,987,902.40

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Solution

The fourth proportional to 272,945,854.40, 409,642,730.40 and 263,987,902.40 is: 396,198,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,945,854.40 : 409,642,730.40 = 263,987,902.40 : x
  2. Step 2: Convert to fraction form
    272,945,854.40/409,642,730.40 = 263,987,902.40/x
  3. Step 3: Cross multiply
    272,945,854.40x = 409,642,730.40 × 263,987,902.40
  4. Step 4: Simplify right side
    272,945,854.40x = 108,140,725,131,704,704
  5. Step 5: Solve for x
    x = 108,140,725,131,704,704/272,945,854.40
  6. Step 6: Final answer
    x = 396,198,452.51

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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.