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Finding the Fourth Proportional to 265,771.76, 398,263.82 and 218,721.20

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Solution

The fourth proportional to 265,771.76, 398,263.82 and 218,721.20 is: 327,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,771.76 : 398,263.82 = 218,721.20 : x
  2. Step 2: Convert to fraction form
    265,771.76/398,263.82 = 218,721.20/x
  3. Step 3: Cross multiply
    265,771.76x = 398,263.82 × 218,721.20
  4. Step 4: Simplify right side
    265,771.76x = 87,108,737,542.06
  5. Step 5: Solve for x
    x = 87,108,737,542.06/265,771.76
  6. Step 6: Final answer
    x = 327,757.69

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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.