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Finding the Fourth Proportional to 422,687.63, 583,308.95 and 231,696.92

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Solution

The fourth proportional to 422,687.63, 583,308.95 and 231,696.92 is: 319,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,687.63 : 583,308.95 = 231,696.92 : x
  2. Step 2: Convert to fraction form
    422,687.63/583,308.95 = 231,696.92/x
  3. Step 3: Cross multiply
    422,687.63x = 583,308.95 × 231,696.92
  4. Step 4: Simplify right side
    422,687.63x = 135,150,887,423.22
  5. Step 5: Solve for x
    x = 135,150,887,423.22/422,687.63
  6. Step 6: Final answer
    x = 319,741.76

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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.