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Finding the Fourth Proportional to 422,747.31, 583,387.74 and 231,760.26

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Solution

The fourth proportional to 422,747.31, 583,387.74 and 231,760.26 is: 319,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,747.31 : 583,387.74 = 231,760.26 : x
  2. Step 2: Convert to fraction form
    422,747.31/583,387.74 = 231,760.26/x
  3. Step 3: Cross multiply
    422,747.31x = 583,387.74 × 231,760.26
  4. Step 4: Simplify right side
    422,747.31x = 135,206,094,303.21
  5. Step 5: Solve for x
    x = 135,206,094,303.21/422,747.31
  6. Step 6: Final answer
    x = 319,827.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.