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Finding the Fourth Proportional to 422,687.78, 583,311.70 and 231,700.58

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Solution

The fourth proportional to 422,687.78, 583,311.70 and 231,700.58 is: 319,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,687.78 : 583,311.70 = 231,700.58 : x
  2. Step 2: Convert to fraction form
    422,687.78/583,311.70 = 231,700.58/x
  3. Step 3: Cross multiply
    422,687.78x = 583,311.70 × 231,700.58
  4. Step 4: Simplify right side
    422,687.78x = 135,153,659,210.79
  5. Step 5: Solve for x
    x = 135,153,659,210.79/422,687.78
  6. Step 6: Final answer
    x = 319,748.21

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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.