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Finding the Fourth Proportional to 283,364.38, 422,836.34 and 258,213.88

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Solution

The fourth proportional to 283,364.38, 422,836.34 and 258,213.88 is: 385,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,364.38 : 422,836.34 = 258,213.88 : x
  2. Step 2: Convert to fraction form
    283,364.38/422,836.34 = 258,213.88/x
  3. Step 3: Cross multiply
    283,364.38x = 422,836.34 × 258,213.88
  4. Step 4: Simplify right side
    283,364.38x = 109,182,211,956.40
  5. Step 5: Solve for x
    x = 109,182,211,956.40/283,364.38
  6. Step 6: Final answer
    x = 385,306.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.