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Finding the Fourth Proportional to 422,548.71, 583,121.81 and 231,558

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Solution

The fourth proportional to 422,548.71, 583,121.81 and 231,558 is: 319,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,548.71 : 583,121.81 = 231,558 : x
  2. Step 2: Convert to fraction form
    422,548.71/583,121.81 = 231,558/x
  3. Step 3: Cross multiply
    422,548.71x = 583,121.81 × 231,558
  4. Step 4: Simplify right side
    422,548.71x = 135,026,520,079.98
  5. Step 5: Solve for x
    x = 135,026,520,079.98/422,548.71
  6. Step 6: Final answer
    x = 319,552.56

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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.