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Finding the Fourth Proportional to 219,720.78, 329,043.71 and 198,421.61

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Solution

The fourth proportional to 219,720.78, 329,043.71 and 198,421.61 is: 297,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,720.78 : 329,043.71 = 198,421.61 : x
  2. Step 2: Convert to fraction form
    219,720.78/329,043.71 = 198,421.61/x
  3. Step 3: Cross multiply
    219,720.78x = 329,043.71 × 198,421.61
  4. Step 4: Simplify right side
    219,720.78x = 65,289,381,549.41
  5. Step 5: Solve for x
    x = 65,289,381,549.41/219,720.78
  6. Step 6: Final answer
    x = 297,147.05

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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.