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Finding the Fourth Proportional to 422,688.63, 583,310.33 and 231,697.92

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Solution

The fourth proportional to 422,688.63, 583,310.33 and 231,697.92 is: 319,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,688.63 : 583,310.33 = 231,697.92 : x
  2. Step 2: Convert to fraction form
    422,688.63/583,310.33 = 231,697.92/x
  3. Step 3: Cross multiply
    422,688.63x = 583,310.33 × 231,697.92
  4. Step 4: Simplify right side
    422,688.63x = 135,151,790,175.51
  5. Step 5: Solve for x
    x = 135,151,790,175.51/422,688.63
  6. Step 6: Final answer
    x = 319,743.14

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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.