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Finding the Fourth Proportional to 428,197.95, 590,949.27 and 237,229.11

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Solution

The fourth proportional to 428,197.95, 590,949.27 and 237,229.11 is: 327,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,197.95 : 590,949.27 = 237,229.11 : x
  2. Step 2: Convert to fraction form
    428,197.95/590,949.27 = 237,229.11/x
  3. Step 3: Cross multiply
    428,197.95x = 590,949.27 × 237,229.11
  4. Step 4: Simplify right side
    428,197.95x = 140,190,369,377.25
  5. Step 5: Solve for x
    x = 140,190,369,377.25/428,197.95
  6. Step 6: Final answer
    x = 327,396.17

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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.