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Finding the Fourth Proportional to 307,710.69, 424,305.99 and 200,081.13

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Solution

The fourth proportional to 307,710.69, 424,305.99 and 200,081.13 is: 275,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,710.69 : 424,305.99 = 200,081.13 : x
  2. Step 2: Convert to fraction form
    307,710.69/424,305.99 = 200,081.13/x
  3. Step 3: Cross multiply
    307,710.69x = 424,305.99 × 200,081.13
  4. Step 4: Simplify right side
    307,710.69x = 84,895,622,695.27
  5. Step 5: Solve for x
    x = 84,895,622,695.27/307,710.69
  6. Step 6: Final answer
    x = 275,894.29

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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.