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Finding the Fourth Proportional to 274,638.60, 411,629.85 and 141,450.30

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Solution

The fourth proportional to 274,638.60, 411,629.85 and 141,450.30 is: 212,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,638.60 : 411,629.85 = 141,450.30 : x
  2. Step 2: Convert to fraction form
    274,638.60/411,629.85 = 141,450.30/x
  3. Step 3: Cross multiply
    274,638.60x = 411,629.85 × 141,450.30
  4. Step 4: Simplify right side
    274,638.60x = 58,225,165,771.46
  5. Step 5: Solve for x
    x = 58,225,165,771.46/274,638.60
  6. Step 6: Final answer
    x = 212,006.49

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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.