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Finding the Fourth Proportional to 632,450, 948,675 and 189,218

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Solution

The fourth proportional to 632,450, 948,675 and 189,218 is: 283,827

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,450 : 948,675 = 189,218 : x
  2. Step 2: Convert to fraction form
    632,450/948,675 = 189,218/x
  3. Step 3: Cross multiply
    632,450x = 948,675 × 189,218
  4. Step 4: Simplify right side
    632,450x = 179,506,386,150
  5. Step 5: Solve for x
    x = 179,506,386,150/632,450
  6. Step 6: Final answer
    x = 283,827

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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.