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Finding the Fourth Proportional to 422,640.62, 583,242.84 and 231,653.42

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Solution

The fourth proportional to 422,640.62, 583,242.84 and 231,653.42 is: 319,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,640.62 : 583,242.84 = 231,653.42 : x
  2. Step 2: Convert to fraction form
    422,640.62/583,242.84 = 231,653.42/x
  3. Step 3: Cross multiply
    422,640.62x = 583,242.84 × 231,653.42
  4. Step 4: Simplify right side
    422,640.62x = 135,110,198,576.51
  5. Step 5: Solve for x
    x = 135,110,198,576.51/422,640.62
  6. Step 6: Final answer
    x = 319,681.05

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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.