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Finding the Fourth Proportional to 408,847.80, 613,271.70 and 320,177.10

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Solution

The fourth proportional to 408,847.80, 613,271.70 and 320,177.10 is: 480,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,847.80 : 613,271.70 = 320,177.10 : x
  2. Step 2: Convert to fraction form
    408,847.80/613,271.70 = 320,177.10/x
  3. Step 3: Cross multiply
    408,847.80x = 613,271.70 × 320,177.10
  4. Step 4: Simplify right side
    408,847.80x = 196,355,554,418.07
  5. Step 5: Solve for x
    x = 196,355,554,418.07/408,847.80
  6. Step 6: Final answer
    x = 480,265.65

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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.