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Finding the Fourth Proportional to 297,954.78, 411,182.09 and 161,988.42

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Solution

The fourth proportional to 297,954.78, 411,182.09 and 161,988.42 is: 223,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,954.78 : 411,182.09 = 161,988.42 : x
  2. Step 2: Convert to fraction form
    297,954.78/411,182.09 = 161,988.42/x
  3. Step 3: Cross multiply
    297,954.78x = 411,182.09 × 161,988.42
  4. Step 4: Simplify right side
    297,954.78x = 66,606,736,281.46
  5. Step 5: Solve for x
    x = 66,606,736,281.46/297,954.78
  6. Step 6: Final answer
    x = 223,546.46

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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.