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Finding the Fourth Proportional to 408,666.42, 613,103.31 and 128,186.10

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Solution

The fourth proportional to 408,666.42, 613,103.31 and 128,186.10 is: 192,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,666.42 : 613,103.31 = 128,186.10 : x
  2. Step 2: Convert to fraction form
    408,666.42/613,103.31 = 128,186.10/x
  3. Step 3: Cross multiply
    408,666.42x = 613,103.31 × 128,186.10
  4. Step 4: Simplify right side
    408,666.42x = 78,591,322,205.99
  5. Step 5: Solve for x
    x = 78,591,322,205.99/408,666.42
  6. Step 6: Final answer
    x = 192,311.67

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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.