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Finding the Fourth Proportional to 307,711.35, 424,306.90 and 200,081.79

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Solution

The fourth proportional to 307,711.35, 424,306.90 and 200,081.79 is: 275,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,711.35 : 424,306.90 = 200,081.79 : x
  2. Step 2: Convert to fraction form
    307,711.35/424,306.90 = 200,081.79/x
  3. Step 3: Cross multiply
    307,711.35x = 424,306.90 × 200,081.79
  4. Step 4: Simplify right side
    307,711.35x = 84,896,084,311.45
  5. Step 5: Solve for x
    x = 84,896,084,311.45/307,711.35
  6. Step 6: Final answer
    x = 275,895.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.