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Finding the Fourth Proportional to 321,084, 443,095.92 and 177,853.27

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Solution

The fourth proportional to 321,084, 443,095.92 and 177,853.27 is: 245,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,084 : 443,095.92 = 177,853.27 : x
  2. Step 2: Convert to fraction form
    321,084/443,095.92 = 177,853.27/x
  3. Step 3: Cross multiply
    321,084x = 443,095.92 × 177,853.27
  4. Step 4: Simplify right side
    321,084x = 78,806,058,018.72
  5. Step 5: Solve for x
    x = 78,806,058,018.72/321,084
  6. Step 6: Final answer
    x = 245,437.51

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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.