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Finding the Fourth Proportional to 427,818.31, 590,667.80 and 274,915.42

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Solution

The fourth proportional to 427,818.31, 590,667.80 and 274,915.42 is: 379,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,818.31 : 590,667.80 = 274,915.42 : x
  2. Step 2: Convert to fraction form
    427,818.31/590,667.80 = 274,915.42/x
  3. Step 3: Cross multiply
    427,818.31x = 590,667.80 × 274,915.42
  4. Step 4: Simplify right side
    427,818.31x = 162,383,686,317.48
  5. Step 5: Solve for x
    x = 162,383,686,317.48/427,818.31
  6. Step 6: Final answer
    x = 379,562.26

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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.