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Finding the Fourth Proportional to 343,956.28, 474,673.30 and 198,757.24

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Solution

The fourth proportional to 343,956.28, 474,673.30 and 198,757.24 is: 274,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,956.28 : 474,673.30 = 198,757.24 : x
  2. Step 2: Convert to fraction form
    343,956.28/474,673.30 = 198,757.24/x
  3. Step 3: Cross multiply
    343,956.28x = 474,673.30 × 198,757.24
  4. Step 4: Simplify right side
    343,956.28x = 94,344,755,009.69
  5. Step 5: Solve for x
    x = 94,344,755,009.69/343,956.28
  6. Step 6: Final answer
    x = 274,292.87

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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.