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Finding the Fourth Proportional to 486,548.30, 729,433.65 and 205,834.70

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Solution

The fourth proportional to 486,548.30, 729,433.65 and 205,834.70 is: 308,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,548.30 : 729,433.65 = 205,834.70 : x
  2. Step 2: Convert to fraction form
    486,548.30/729,433.65 = 205,834.70/x
  3. Step 3: Cross multiply
    486,548.30x = 729,433.65 × 205,834.70
  4. Step 4: Simplify right side
    486,548.30x = 150,142,756,517.66
  5. Step 5: Solve for x
    x = 150,142,756,517.66/486,548.30
  6. Step 6: Final answer
    x = 308,587.57

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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.