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Finding the Fourth Proportional to 397,180.80, 595,612.80 and 130,867.20

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Solution

The fourth proportional to 397,180.80, 595,612.80 and 130,867.20 is: 196,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,180.80 : 595,612.80 = 130,867.20 : x
  2. Step 2: Convert to fraction form
    397,180.80/595,612.80 = 130,867.20/x
  3. Step 3: Cross multiply
    397,180.80x = 595,612.80 × 130,867.20
  4. Step 4: Simplify right side
    397,180.80x = 77,946,179,420.16
  5. Step 5: Solve for x
    x = 77,946,179,420.16/397,180.80
  6. Step 6: Final answer
    x = 196,248.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.