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Finding the Fourth Proportional to 394,160.10, 543,941.46 and 224,394

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Solution

The fourth proportional to 394,160.10, 543,941.46 and 224,394 is: 309,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,160.10 : 543,941.46 = 224,394 : x
  2. Step 2: Convert to fraction form
    394,160.10/543,941.46 = 224,394/x
  3. Step 3: Cross multiply
    394,160.10x = 543,941.46 × 224,394
  4. Step 4: Simplify right side
    394,160.10x = 122,057,199,975.24
  5. Step 5: Solve for x
    x = 122,057,199,975.24/394,160.10
  6. Step 6: Final answer
    x = 309,664.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.