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Finding the Fourth Proportional to 274,829.10, 411,915.60 and 141,640.80

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Solution

The fourth proportional to 274,829.10, 411,915.60 and 141,640.80 is: 212,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,829.10 : 411,915.60 = 141,640.80 : x
  2. Step 2: Convert to fraction form
    274,829.10/411,915.60 = 141,640.80/x
  3. Step 3: Cross multiply
    274,829.10x = 411,915.60 × 141,640.80
  4. Step 4: Simplify right side
    274,829.10x = 58,344,055,116.48
  5. Step 5: Solve for x
    x = 58,344,055,116.48/274,829.10
  6. Step 6: Final answer
    x = 212,292.13

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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.