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Finding the Fourth Proportional to 442,338.86, 609,164.25 and 398,356.92

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Solution

The fourth proportional to 442,338.86, 609,164.25 and 398,356.92 is: 548,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,338.86 : 609,164.25 = 398,356.92 : x
  2. Step 2: Convert to fraction form
    442,338.86/609,164.25 = 398,356.92/x
  3. Step 3: Cross multiply
    442,338.86x = 609,164.25 × 398,356.92
  4. Step 4: Simplify right side
    442,338.86x = 242,664,795,480.18
  5. Step 5: Solve for x
    x = 242,664,795,480.18/442,338.86
  6. Step 6: Final answer
    x = 548,594.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.