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Finding the Fourth Proportional to 418,769.22, 627,915.15 and 285,810.42

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Solution

The fourth proportional to 418,769.22, 627,915.15 and 285,810.42 is: 428,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,769.22 : 627,915.15 = 285,810.42 : x
  2. Step 2: Convert to fraction form
    418,769.22/627,915.15 = 285,810.42/x
  3. Step 3: Cross multiply
    418,769.22x = 627,915.15 × 285,810.42
  4. Step 4: Simplify right side
    418,769.22x = 179,464,692,745.86
  5. Step 5: Solve for x
    x = 179,464,692,745.86/418,769.22
  6. Step 6: Final answer
    x = 428,552.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.