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Finding the Fourth Proportional to 220,632.78, 304,578.99 and 135,822.54

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Solution

The fourth proportional to 220,632.78, 304,578.99 and 135,822.54 is: 187,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,632.78 : 304,578.99 = 135,822.54 : x
  2. Step 2: Convert to fraction form
    220,632.78/304,578.99 = 135,822.54/x
  3. Step 3: Cross multiply
    220,632.78x = 304,578.99 × 135,822.54
  4. Step 4: Simplify right side
    220,632.78x = 41,368,692,052.43
  5. Step 5: Solve for x
    x = 41,368,692,052.43/220,632.78
  6. Step 6: Final answer
    x = 187,500.21

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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.