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Finding the Fourth Proportional to 200,432.32, 300,431.09 and 100,351.15

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Solution

The fourth proportional to 200,432.32, 300,431.09 and 100,351.15 is: 150,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.32 : 300,431.09 = 100,351.15 : x
  2. Step 2: Convert to fraction form
    200,432.32/300,431.09 = 100,351.15/x
  3. Step 3: Cross multiply
    200,432.32x = 300,431.09 × 100,351.15
  4. Step 4: Simplify right side
    200,432.32x = 30,148,604,877.05
  5. Step 5: Solve for x
    x = 30,148,604,877.05/200,432.32
  6. Step 6: Final answer
    x = 150,417.88

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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.