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Finding the Fourth Proportional to 422,649.21, 583,252.47 and 231,662.19

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Solution

The fourth proportional to 422,649.21, 583,252.47 and 231,662.19 is: 319,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,649.21 : 583,252.47 = 231,662.19 : x
  2. Step 2: Convert to fraction form
    422,649.21/583,252.47 = 231,662.19/x
  3. Step 3: Cross multiply
    422,649.21x = 583,252.47 × 231,662.19
  4. Step 4: Simplify right side
    422,649.21x = 135,117,544,523.11
  5. Step 5: Solve for x
    x = 135,117,544,523.11/422,649.21
  6. Step 6: Final answer
    x = 319,691.94

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1.5x scale

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.