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Finding the Fourth Proportional to 490,205.12, 735,078.04 and 205,834.97

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Solution

The fourth proportional to 490,205.12, 735,078.04 and 205,834.97 is: 308,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,205.12 : 735,078.04 = 205,834.97 : x
  2. Step 2: Convert to fraction form
    490,205.12/735,078.04 = 205,834.97/x
  3. Step 3: Cross multiply
    490,205.12x = 735,078.04 × 205,834.97
  4. Step 4: Simplify right side
    490,205.12x = 151,304,767,634.17
  5. Step 5: Solve for x
    x = 151,304,767,634.17/490,205.12
  6. Step 6: Final answer
    x = 308,656.04

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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.