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Finding the Fourth Proportional to 428,817.74, 591,773.09 and 237,843.42

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Solution

The fourth proportional to 428,817.74, 591,773.09 and 237,843.42 is: 328,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,817.74 : 591,773.09 = 237,843.42 : x
  2. Step 2: Convert to fraction form
    428,817.74/591,773.09 = 237,843.42/x
  3. Step 3: Cross multiply
    428,817.74x = 591,773.09 × 237,843.42
  4. Step 4: Simplify right side
    428,817.74x = 140,749,334,400.35
  5. Step 5: Solve for x
    x = 140,749,334,400.35/428,817.74
  6. Step 6: Final answer
    x = 328,226.48

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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.