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Finding the Fourth Proportional to 307,711.07, 424,306.51 and 200,081.51

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Solution

The fourth proportional to 307,711.07, 424,306.51 and 200,081.51 is: 275,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,711.07 : 424,306.51 = 200,081.51 : x
  2. Step 2: Convert to fraction form
    307,711.07/424,306.51 = 200,081.51/x
  3. Step 3: Cross multiply
    307,711.07x = 424,306.51 × 200,081.51
  4. Step 4: Simplify right side
    307,711.07x = 84,895,886,193.04
  5. Step 5: Solve for x
    x = 84,895,886,193.04/307,711.07
  6. Step 6: Final answer
    x = 275,894.81

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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.