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Finding the Fourth Proportional to 428,832.56, 591,780.12 and 265,445.90

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Solution

The fourth proportional to 428,832.56, 591,780.12 and 265,445.90 is: 366,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,832.56 : 591,780.12 = 265,445.90 : x
  2. Step 2: Convert to fraction form
    428,832.56/591,780.12 = 265,445.90/x
  3. Step 3: Cross multiply
    428,832.56x = 591,780.12 × 265,445.90
  4. Step 4: Simplify right side
    428,832.56x = 157,085,603,596.61
  5. Step 5: Solve for x
    x = 157,085,603,596.61/428,832.56
  6. Step 6: Final answer
    x = 366,309.88

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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.