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Finding the Fourth Proportional to 442,811.80, 664,217.70 and 396,155.80

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Solution

The fourth proportional to 442,811.80, 664,217.70 and 396,155.80 is: 594,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,811.80 : 664,217.70 = 396,155.80 : x
  2. Step 2: Convert to fraction form
    442,811.80/664,217.70 = 396,155.80/x
  3. Step 3: Cross multiply
    442,811.80x = 664,217.70 × 396,155.80
  4. Step 4: Simplify right side
    442,811.80x = 263,133,694,317.66
  5. Step 5: Solve for x
    x = 263,133,694,317.66/442,811.80
  6. Step 6: Final answer
    x = 594,233.70

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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.