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Finding the Fourth Proportional to 219,676.20, 329,255.10 and 164,207.40

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Solution

The fourth proportional to 219,676.20, 329,255.10 and 164,207.40 is: 246,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,676.20 : 329,255.10 = 164,207.40 : x
  2. Step 2: Convert to fraction form
    219,676.20/329,255.10 = 164,207.40/x
  3. Step 3: Cross multiply
    219,676.20x = 329,255.10 × 164,207.40
  4. Step 4: Simplify right side
    219,676.20x = 54,066,123,907.74
  5. Step 5: Solve for x
    x = 54,066,123,907.74/219,676.20
  6. Step 6: Final answer
    x = 246,117.35

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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.