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Finding the Fourth Proportional to 400,311.90, 600,416.01 and 150,961.50

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Solution

The fourth proportional to 400,311.90, 600,416.01 and 150,961.50 is: 226,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,311.90 : 600,416.01 = 150,961.50 : x
  2. Step 2: Convert to fraction form
    400,311.90/600,416.01 = 150,961.50/x
  3. Step 3: Cross multiply
    400,311.90x = 600,416.01 × 150,961.50
  4. Step 4: Simplify right side
    400,311.90x = 90,639,701,493.62
  5. Step 5: Solve for x
    x = 90,639,701,493.62/400,311.90
  6. Step 6: Final answer
    x = 226,422.70

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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.