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Finding the Fourth Proportional to 219,882.30, 329,823.45 and 197,720.70

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Solution

The fourth proportional to 219,882.30, 329,823.45 and 197,720.70 is: 296,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,882.30 : 329,823.45 = 197,720.70 : x
  2. Step 2: Convert to fraction form
    219,882.30/329,823.45 = 197,720.70/x
  3. Step 3: Cross multiply
    219,882.30x = 329,823.45 × 197,720.70
  4. Step 4: Simplify right side
    219,882.30x = 65,212,923,410.42
  5. Step 5: Solve for x
    x = 65,212,923,410.42/219,882.30
  6. Step 6: Final answer
    x = 296,581.05

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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.