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Finding the Fourth Proportional to 422,681.28, 583,302.72 and 231,694.08

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Solution

The fourth proportional to 422,681.28, 583,302.72 and 231,694.08 is: 319,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,681.28 : 583,302.72 = 231,694.08 : x
  2. Step 2: Convert to fraction form
    422,681.28/583,302.72 = 231,694.08/x
  3. Step 3: Cross multiply
    422,681.28x = 583,302.72 × 231,694.08
  4. Step 4: Simplify right side
    422,681.28x = 135,147,787,071.90
  5. Step 5: Solve for x
    x = 135,147,787,071.90/422,681.28
  6. Step 6: Final answer
    x = 319,739.23

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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.