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Finding the Fourth Proportional to 490,755.52, 736,418.72 and 206,425.28

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Solution

The fourth proportional to 490,755.52, 736,418.72 and 206,425.28 is: 309,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,755.52 : 736,418.72 = 206,425.28 : x
  2. Step 2: Convert to fraction form
    490,755.52/736,418.72 = 206,425.28/x
  3. Step 3: Cross multiply
    490,755.52x = 736,418.72 × 206,425.28
  4. Step 4: Simplify right side
    490,755.52x = 152,015,440,473.24
  5. Step 5: Solve for x
    x = 152,015,440,473.24/490,755.52
  6. Step 6: Final answer
    x = 309,757.98

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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.