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Finding the Fourth Proportional to 329,867,728.80, 494,376,440.40 and 200,337,842.40

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Solution

The fourth proportional to 329,867,728.80, 494,376,440.40 and 200,337,842.40 is: 300,248,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,867,728.80 : 494,376,440.40 = 200,337,842.40 : x
  2. Step 2: Convert to fraction form
    329,867,728.80/494,376,440.40 = 200,337,842.40/x
  3. Step 3: Cross multiply
    329,867,728.80x = 494,376,440.40 × 200,337,842.40
  4. Step 4: Simplify right side
    329,867,728.80x = 99,042,309,403,128,192
  5. Step 5: Solve for x
    x = 99,042,309,403,128,192/329,867,728.80
  6. Step 6: Final answer
    x = 300,248,556.48

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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.