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Finding the Fourth Proportional to 220,711.92, 331,068.72 and 146,304.72

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Solution

The fourth proportional to 220,711.92, 331,068.72 and 146,304.72 is: 219,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,711.92 : 331,068.72 = 146,304.72 : x
  2. Step 2: Convert to fraction form
    220,711.92/331,068.72 = 146,304.72/x
  3. Step 3: Cross multiply
    220,711.92x = 331,068.72 × 146,304.72
  4. Step 4: Simplify right side
    220,711.92x = 48,436,916,380.36
  5. Step 5: Solve for x
    x = 48,436,916,380.36/220,711.92
  6. Step 6: Final answer
    x = 219,457.64

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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.