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Finding the Fourth Proportional to 200,328.60, 300,056.22 and 100,314.36

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Solution

The fourth proportional to 200,328.60, 300,056.22 and 100,314.36 is: 150,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328.60 : 300,056.22 = 100,314.36 : x
  2. Step 2: Convert to fraction form
    200,328.60/300,056.22 = 100,314.36/x
  3. Step 3: Cross multiply
    200,328.60x = 300,056.22 × 100,314.36
  4. Step 4: Simplify right side
    200,328.60x = 30,099,947,673.32
  5. Step 5: Solve for x
    x = 30,099,947,673.32/200,328.60
  6. Step 6: Final answer
    x = 150,252.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.