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Finding the Fourth Proportional to 438,766, 658,149 and 106,342

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Solution

The fourth proportional to 438,766, 658,149 and 106,342 is: 159,513

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,766 : 658,149 = 106,342 : x
  2. Step 2: Convert to fraction form
    438,766/658,149 = 106,342/x
  3. Step 3: Cross multiply
    438,766x = 658,149 × 106,342
  4. Step 4: Simplify right side
    438,766x = 69,988,880,958
  5. Step 5: Solve for x
    x = 69,988,880,958/438,766
  6. Step 6: Final answer
    x = 159,513

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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.