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Finding the Fourth Proportional to 402,193.96, 555,034.32 and 220,922.64

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Solution

The fourth proportional to 402,193.96, 555,034.32 and 220,922.64 is: 304,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,193.96 : 555,034.32 = 220,922.64 : x
  2. Step 2: Convert to fraction form
    402,193.96/555,034.32 = 220,922.64/x
  3. Step 3: Cross multiply
    402,193.96x = 555,034.32 × 220,922.64
  4. Step 4: Simplify right side
    402,193.96x = 122,619,647,265.01
  5. Step 5: Solve for x
    x = 122,619,647,265.01/402,193.96
  6. Step 6: Final answer
    x = 304,876.90

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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.