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Finding the Fourth Proportional to 231,441.60, 347,680.80 and 221,995.20

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Solution

The fourth proportional to 231,441.60, 347,680.80 and 221,995.20 is: 333,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,441.60 : 347,680.80 = 221,995.20 : x
  2. Step 2: Convert to fraction form
    231,441.60/347,680.80 = 221,995.20/x
  3. Step 3: Cross multiply
    231,441.60x = 347,680.80 × 221,995.20
  4. Step 4: Simplify right side
    231,441.60x = 77,183,468,732.16
  5. Step 5: Solve for x
    x = 77,183,468,732.16/231,441.60
  6. Step 6: Final answer
    x = 333,490.04

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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.