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Finding the Fourth Proportional to 219,820.80, 329,731.20 and 197,659.20

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Solution

The fourth proportional to 219,820.80, 329,731.20 and 197,659.20 is: 296,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,820.80 : 329,731.20 = 197,659.20 : x
  2. Step 2: Convert to fraction form
    219,820.80/329,731.20 = 197,659.20/x
  3. Step 3: Cross multiply
    219,820.80x = 329,731.20 × 197,659.20
  4. Step 4: Simplify right side
    219,820.80x = 65,174,405,207.04
  5. Step 5: Solve for x
    x = 65,174,405,207.04/219,820.80
  6. Step 6: Final answer
    x = 296,488.80

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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.