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Finding the Fourth Proportional to 408,846.69, 613,226.90 and 109,357.49

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Solution

The fourth proportional to 408,846.69, 613,226.90 and 109,357.49 is: 164,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846.69 : 613,226.90 = 109,357.49 : x
  2. Step 2: Convert to fraction form
    408,846.69/613,226.90 = 109,357.49/x
  3. Step 3: Cross multiply
    408,846.69x = 613,226.90 × 109,357.49
  4. Step 4: Simplify right side
    408,846.69x = 67,060,956,390.94
  5. Step 5: Solve for x
    x = 67,060,956,390.94/408,846.69
  6. Step 6: Final answer
    x = 164,024.70

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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.