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Finding the Fourth Proportional to 422,756.58, 583,403.94 and 231,765.87

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Solution

The fourth proportional to 422,756.58, 583,403.94 and 231,765.87 is: 319,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,756.58 : 583,403.94 = 231,765.87 : x
  2. Step 2: Convert to fraction form
    422,756.58/583,403.94 = 231,765.87/x
  3. Step 3: Cross multiply
    422,756.58x = 583,403.94 × 231,765.87
  4. Step 4: Simplify right side
    422,756.58x = 135,213,121,715.53
  5. Step 5: Solve for x
    x = 135,213,121,715.53/422,756.58
  6. Step 6: Final answer
    x = 319,836.82

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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.