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Finding the Fourth Proportional to 486,174.30, 729,169.10 and 205,888.38

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Solution

The fourth proportional to 486,174.30, 729,169.10 and 205,888.38 is: 308,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,174.30 : 729,169.10 = 205,888.38 : x
  2. Step 2: Convert to fraction form
    486,174.30/729,169.10 = 205,888.38/x
  3. Step 3: Cross multiply
    486,174.30x = 729,169.10 × 205,888.38
  4. Step 4: Simplify right side
    486,174.30x = 150,127,444,745.06
  5. Step 5: Solve for x
    x = 150,127,444,745.06/486,174.30
  6. Step 6: Final answer
    x = 308,793.46

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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.