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Finding the Fourth Proportional to 408,441.80, 613,245.90 and 319,795.40

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Solution

The fourth proportional to 408,441.80, 613,245.90 and 319,795.40 is: 480,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,441.80 : 613,245.90 = 319,795.40 : x
  2. Step 2: Convert to fraction form
    408,441.80/613,245.90 = 319,795.40/x
  3. Step 3: Cross multiply
    408,441.80x = 613,245.90 × 319,795.40
  4. Step 4: Simplify right side
    408,441.80x = 196,113,217,888.86
  5. Step 5: Solve for x
    x = 196,113,217,888.86/408,441.80
  6. Step 6: Final answer
    x = 480,149.72

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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.