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Finding the Fourth Proportional to 394,147.10, 543,923.52 and 224,381

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Solution

The fourth proportional to 394,147.10, 543,923.52 and 224,381 is: 309,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,147.10 : 543,923.52 = 224,381 : x
  2. Step 2: Convert to fraction form
    394,147.10/543,923.52 = 224,381/x
  3. Step 3: Cross multiply
    394,147.10x = 543,923.52 × 224,381
  4. Step 4: Simplify right side
    394,147.10x = 122,046,103,341.12
  5. Step 5: Solve for x
    x = 122,046,103,341.12/394,147.10
  6. Step 6: Final answer
    x = 309,646.08

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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.