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Finding the Fourth Proportional to 297,871.86, 411,065.92 and 161,906.10

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Solution

The fourth proportional to 297,871.86, 411,065.92 and 161,906.10 is: 223,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,871.86 : 411,065.92 = 161,906.10 : x
  2. Step 2: Convert to fraction form
    297,871.86/411,065.92 = 161,906.10/x
  3. Step 3: Cross multiply
    297,871.86x = 411,065.92 × 161,906.10
  4. Step 4: Simplify right side
    297,871.86x = 66,554,079,950.11
  5. Step 5: Solve for x
    x = 66,554,079,950.11/297,871.86
  6. Step 6: Final answer
    x = 223,431.91

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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.