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Finding the Fourth Proportional to 397,707,761.76, 548,853,721.76 and 221,495,728.86

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Solution

The fourth proportional to 397,707,761.76, 548,853,721.76 and 221,495,728.86 is: 305,673,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,707,761.76 : 548,853,721.76 = 221,495,728.86 : x
  2. Step 2: Convert to fraction form
    397,707,761.76/548,853,721.76 = 221,495,728.86/x
  3. Step 3: Cross multiply
    397,707,761.76x = 548,853,721.76 × 221,495,728.86
  4. Step 4: Simplify right side
    397,707,761.76x = 121,568,755,138,754,848
  5. Step 5: Solve for x
    x = 121,568,755,138,754,848/397,707,761.76
  6. Step 6: Final answer
    x = 305,673,579.52

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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.