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Finding the Fourth Proportional to 422,967.58, 583,711.63 and 231,989.02

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Solution

The fourth proportional to 422,967.58, 583,711.63 and 231,989.02 is: 320,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,967.58 : 583,711.63 = 231,989.02 : x
  2. Step 2: Convert to fraction form
    422,967.58/583,711.63 = 231,989.02/x
  3. Step 3: Cross multiply
    422,967.58x = 583,711.63 × 231,989.02
  4. Step 4: Simplify right side
    422,967.58x = 135,414,689,006.30
  5. Step 5: Solve for x
    x = 135,414,689,006.30/422,967.58
  6. Step 6: Final answer
    x = 320,153.83

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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.