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Finding the Fourth Proportional to 339,410.43, 468,423.14 and 217,013.76

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Solution

The fourth proportional to 339,410.43, 468,423.14 and 217,013.76 is: 299,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,410.43 : 468,423.14 = 217,013.76 : x
  2. Step 2: Convert to fraction form
    339,410.43/468,423.14 = 217,013.76/x
  3. Step 3: Cross multiply
    339,410.43x = 468,423.14 × 217,013.76
  4. Step 4: Simplify right side
    339,410.43x = 101,654,265,797.34
  5. Step 5: Solve for x
    x = 101,654,265,797.34/339,410.43
  6. Step 6: Final answer
    x = 299,502.48

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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.