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Finding the Fourth Proportional to 252,726.80, 348,478.64 and 206,642.66

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Solution

The fourth proportional to 252,726.80, 348,478.64 and 206,642.66 is: 284,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,726.80 : 348,478.64 = 206,642.66 : x
  2. Step 2: Convert to fraction form
    252,726.80/348,478.64 = 206,642.66/x
  3. Step 3: Cross multiply
    252,726.80x = 348,478.64 × 206,642.66
  4. Step 4: Simplify right side
    252,726.80x = 72,010,553,122.78
  5. Step 5: Solve for x
    x = 72,010,553,122.78/252,726.80
  6. Step 6: Final answer
    x = 284,934.38

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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.