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Finding the Fourth Proportional to 310,726.97, 428,738.90 and 181,640.51

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Solution

The fourth proportional to 310,726.97, 428,738.90 and 181,640.51 is: 250,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,726.97 : 428,738.90 = 181,640.51 : x
  2. Step 2: Convert to fraction form
    310,726.97/428,738.90 = 181,640.51/x
  3. Step 3: Cross multiply
    310,726.97x = 428,738.90 × 181,640.51
  4. Step 4: Simplify right side
    310,726.97x = 77,876,349,400.94
  5. Step 5: Solve for x
    x = 77,876,349,400.94/310,726.97
  6. Step 6: Final answer
    x = 250,626.30

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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.