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Finding the Fourth Proportional to 438,774, 658,161 and 106,350

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Solution

The fourth proportional to 438,774, 658,161 and 106,350 is: 159,525

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,774 : 658,161 = 106,350 : x
  2. Step 2: Convert to fraction form
    438,774/658,161 = 106,350/x
  3. Step 3: Cross multiply
    438,774x = 658,161 × 106,350
  4. Step 4: Simplify right side
    438,774x = 69,995,422,350
  5. Step 5: Solve for x
    x = 69,995,422,350/438,774
  6. Step 6: Final answer
    x = 159,525

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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.