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Finding the Fourth Proportional to 310,471.59, 428,490.41 and 189,587.44

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Solution

The fourth proportional to 310,471.59, 428,490.41 and 189,587.44 is: 261,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,471.59 : 428,490.41 = 189,587.44 : x
  2. Step 2: Convert to fraction form
    310,471.59/428,490.41 = 189,587.44/x
  3. Step 3: Cross multiply
    310,471.59x = 428,490.41 × 189,587.44
  4. Step 4: Simplify right side
    310,471.59x = 81,236,399,896.45
  5. Step 5: Solve for x
    x = 81,236,399,896.45/310,471.59
  6. Step 6: Final answer
    x = 261,654.86

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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.