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Finding the Fourth Proportional to 428,562.12, 591,402.84 and 234,965.82

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Solution

The fourth proportional to 428,562.12, 591,402.84 and 234,965.82 is: 324,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,562.12 : 591,402.84 = 234,965.82 : x
  2. Step 2: Convert to fraction form
    428,562.12/591,402.84 = 234,965.82/x
  3. Step 3: Cross multiply
    428,562.12x = 591,402.84 × 234,965.82
  4. Step 4: Simplify right side
    428,562.12x = 138,959,453,250.93
  5. Step 5: Solve for x
    x = 138,959,453,250.93/428,562.12
  6. Step 6: Final answer
    x = 324,245.77

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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.