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Finding the Fourth Proportional to 286,069.97, 394,781.57 and 157,020.52

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Solution

The fourth proportional to 286,069.97, 394,781.57 and 157,020.52 is: 216,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,069.97 : 394,781.57 = 157,020.52 : x
  2. Step 2: Convert to fraction form
    286,069.97/394,781.57 = 157,020.52/x
  3. Step 3: Cross multiply
    286,069.97x = 394,781.57 × 157,020.52
  4. Step 4: Simplify right side
    286,069.97x = 61,988,807,407.82
  5. Step 5: Solve for x
    x = 61,988,807,407.82/286,069.97
  6. Step 6: Final answer
    x = 216,691.07

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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.