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Finding the Fourth Proportional to 394,065, 543,810.31 and 224,299.13

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Solution

The fourth proportional to 394,065, 543,810.31 and 224,299.13 is: 309,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,065 : 543,810.31 = 224,299.13 : x
  2. Step 2: Convert to fraction form
    394,065/543,810.31 = 224,299.13/x
  3. Step 3: Cross multiply
    394,065x = 543,810.31 × 224,299.13
  4. Step 4: Simplify right side
    394,065x = 121,976,176,138.23
  5. Step 5: Solve for x
    x = 121,976,176,138.23/394,065
  6. Step 6: Final answer
    x = 309,533.14

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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.