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Finding the Fourth Proportional to 219,731.80, 329,079.30 and 149,229.40

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Solution

The fourth proportional to 219,731.80, 329,079.30 and 149,229.40 is: 223,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,731.80 : 329,079.30 = 149,229.40 : x
  2. Step 2: Convert to fraction form
    219,731.80/329,079.30 = 149,229.40/x
  3. Step 3: Cross multiply
    219,731.80x = 329,079.30 × 149,229.40
  4. Step 4: Simplify right side
    219,731.80x = 49,108,306,491.42
  5. Step 5: Solve for x
    x = 49,108,306,491.42/219,731.80
  6. Step 6: Final answer
    x = 223,492.03

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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.