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Finding the Fourth Proportional to 219,614.20, 329,421.30 and 217,281.40

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Solution

The fourth proportional to 219,614.20, 329,421.30 and 217,281.40 is: 325,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,614.20 : 329,421.30 = 217,281.40 : x
  2. Step 2: Convert to fraction form
    219,614.20/329,421.30 = 217,281.40/x
  3. Step 3: Cross multiply
    219,614.20x = 329,421.30 × 217,281.40
  4. Step 4: Simplify right side
    219,614.20x = 71,577,121,253.82
  5. Step 5: Solve for x
    x = 71,577,121,253.82/219,614.20
  6. Step 6: Final answer
    x = 325,922.10

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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.