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Finding the Fourth Proportional to 300,427.50, 414,475.47 and 198,501.42

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Solution

The fourth proportional to 300,427.50, 414,475.47 and 198,501.42 is: 273,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,427.50 : 414,475.47 = 198,501.42 : x
  2. Step 2: Convert to fraction form
    300,427.50/414,475.47 = 198,501.42/x
  3. Step 3: Cross multiply
    300,427.50x = 414,475.47 × 198,501.42
  4. Step 4: Simplify right side
    300,427.50x = 82,273,969,350.17
  5. Step 5: Solve for x
    x = 82,273,969,350.17/300,427.50
  6. Step 6: Final answer
    x = 273,856.32

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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.