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Finding the Fourth Proportional to 486,169.54, 729,332.07 and 205,689.22

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Solution

The fourth proportional to 486,169.54, 729,332.07 and 205,689.22 is: 308,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,169.54 : 729,332.07 = 205,689.22 : x
  2. Step 2: Convert to fraction form
    486,169.54/729,332.07 = 205,689.22/x
  3. Step 3: Cross multiply
    486,169.54x = 729,332.07 × 205,689.22
  4. Step 4: Simplify right side
    486,169.54x = 150,015,744,599.29
  5. Step 5: Solve for x
    x = 150,015,744,599.29/486,169.54
  6. Step 6: Final answer
    x = 308,566.73

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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.