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Finding the Fourth Proportional to 300,323.56, 414,266.32 and 198,349.22

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Solution

The fourth proportional to 300,323.56, 414,266.32 and 198,349.22 is: 273,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,323.56 : 414,266.32 = 198,349.22 : x
  2. Step 2: Convert to fraction form
    300,323.56/414,266.32 = 198,349.22/x
  3. Step 3: Cross multiply
    300,323.56x = 414,266.32 × 198,349.22
  4. Step 4: Simplify right side
    300,323.56x = 82,169,401,444.27
  5. Step 5: Solve for x
    x = 82,169,401,444.27/300,323.56
  6. Step 6: Final answer
    x = 273,602.91

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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.