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Finding the Fourth Proportional to 422,642.92, 583,261.68 and 231,656.26

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Solution

The fourth proportional to 422,642.92, 583,261.68 and 231,656.26 is: 319,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,642.92 : 583,261.68 = 231,656.26 : x
  2. Step 2: Convert to fraction form
    422,642.92/583,261.68 = 231,656.26/x
  3. Step 3: Cross multiply
    422,642.92x = 583,261.68 × 231,656.26
  4. Step 4: Simplify right side
    422,642.92x = 135,116,219,390.12
  5. Step 5: Solve for x
    x = 135,116,219,390.12/422,642.92
  6. Step 6: Final answer
    x = 319,693.56

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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.