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Finding the Fourth Proportional to 422,937.88, 583,654.32 and 231,955.28

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Solution

The fourth proportional to 422,937.88, 583,654.32 and 231,955.28 is: 320,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,937.88 : 583,654.32 = 231,955.28 : x
  2. Step 2: Convert to fraction form
    422,937.88/583,654.32 = 231,955.28/x
  3. Step 3: Cross multiply
    422,937.88x = 583,654.32 × 231,955.28
  4. Step 4: Simplify right side
    422,937.88x = 135,381,701,218.81
  5. Step 5: Solve for x
    x = 135,381,701,218.81/422,937.88
  6. Step 6: Final answer
    x = 320,098.31

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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.