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Finding the Fourth Proportional to 486,576, 730,257.12 and 206,290.08

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Solution

The fourth proportional to 486,576, 730,257.12 and 206,290.08 is: 309,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,576 : 730,257.12 = 206,290.08 : x
  2. Step 2: Convert to fraction form
    486,576/730,257.12 = 206,290.08/x
  3. Step 3: Cross multiply
    486,576x = 730,257.12 × 206,290.08
  4. Step 4: Simplify right side
    486,576x = 150,644,799,705.37
  5. Step 5: Solve for x
    x = 150,644,799,705.37/486,576
  6. Step 6: Final answer
    x = 309,601.79

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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.