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Finding the Fourth Proportional to 322,209.78, 444,602.61 and 178,971.06

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Solution

The fourth proportional to 322,209.78, 444,602.61 and 178,971.06 is: 246,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,209.78 : 444,602.61 = 178,971.06 : x
  2. Step 2: Convert to fraction form
    322,209.78/444,602.61 = 178,971.06/x
  3. Step 3: Cross multiply
    322,209.78x = 444,602.61 × 178,971.06
  4. Step 4: Simplify right side
    322,209.78x = 79,571,000,390.47
  5. Step 5: Solve for x
    x = 79,571,000,390.47/322,209.78
  6. Step 6: Final answer
    x = 246,954.02

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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.