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Finding the Fourth Proportional to 408,846.30, 613,269.45 and 320,175.60

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Solution

The fourth proportional to 408,846.30, 613,269.45 and 320,175.60 is: 480,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846.30 : 613,269.45 = 320,175.60 : x
  2. Step 2: Convert to fraction form
    408,846.30/613,269.45 = 320,175.60/x
  3. Step 3: Cross multiply
    408,846.30x = 613,269.45 × 320,175.60
  4. Step 4: Simplify right side
    408,846.30x = 196,353,914,115.42
  5. Step 5: Solve for x
    x = 196,353,914,115.42/408,846.30
  6. Step 6: Final answer
    x = 480,263.40

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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.