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Finding the Fourth Proportional to 408,823.80, 613,235.70 and 320,153.10

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Solution

The fourth proportional to 408,823.80, 613,235.70 and 320,153.10 is: 480,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,823.80 : 613,235.70 = 320,153.10 : x
  2. Step 2: Convert to fraction form
    408,823.80/613,235.70 = 320,153.10/x
  3. Step 3: Cross multiply
    408,823.80x = 613,235.70 × 320,153.10
  4. Step 4: Simplify right side
    408,823.80x = 196,329,310,385.67
  5. Step 5: Solve for x
    x = 196,329,310,385.67/408,823.80
  6. Step 6: Final answer
    x = 480,229.65

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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.