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Finding the Fourth Proportional to 422,715.30, 583,331.69 and 231,724.59

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Solution

The fourth proportional to 422,715.30, 583,331.69 and 231,724.59 is: 319,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,715.30 : 583,331.69 = 231,724.59 : x
  2. Step 2: Convert to fraction form
    422,715.30/583,331.69 = 231,724.59/x
  3. Step 3: Cross multiply
    422,715.30x = 583,331.69 × 231,724.59
  4. Step 4: Simplify right side
    422,715.30x = 135,172,296,699.26
  5. Step 5: Solve for x
    x = 135,172,296,699.26/422,715.30
  6. Step 6: Final answer
    x = 319,771.48

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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.