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Finding the Fourth Proportional to 300,105.13, 414,099.07 and 172,756.11

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Solution

The fourth proportional to 300,105.13, 414,099.07 and 172,756.11 is: 238,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,105.13 : 414,099.07 = 172,756.11 : x
  2. Step 2: Convert to fraction form
    300,105.13/414,099.07 = 172,756.11/x
  3. Step 3: Cross multiply
    300,105.13x = 414,099.07 × 172,756.11
  4. Step 4: Simplify right side
    300,105.13x = 71,538,143,624.04
  5. Step 5: Solve for x
    x = 71,538,143,624.04/300,105.13
  6. Step 6: Final answer
    x = 238,376.94

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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.