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Finding the Fourth Proportional to 217,717.20, 300,429 and 122,202

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Solution

The fourth proportional to 217,717.20, 300,429 and 122,202 is: 168,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,717.20 : 300,429 = 122,202 : x
  2. Step 2: Convert to fraction form
    217,717.20/300,429 = 122,202/x
  3. Step 3: Cross multiply
    217,717.20x = 300,429 × 122,202
  4. Step 4: Simplify right side
    217,717.20x = 36,713,024,658
  5. Step 5: Solve for x
    x = 36,713,024,658/217,717.20
  6. Step 6: Final answer
    x = 168,627.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.