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Finding the Fourth Proportional to 428,697.36, 591,632.10 and 237,728.52

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Solution

The fourth proportional to 428,697.36, 591,632.10 and 237,728.52 is: 328,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,697.36 : 591,632.10 = 237,728.52 : x
  2. Step 2: Convert to fraction form
    428,697.36/591,632.10 = 237,728.52/x
  3. Step 3: Cross multiply
    428,697.36x = 591,632.10 × 237,728.52
  4. Step 4: Simplify right side
    428,697.36x = 140,647,823,517.49
  5. Step 5: Solve for x
    x = 140,647,823,517.49/428,697.36
  6. Step 6: Final answer
    x = 328,081.85

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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.