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Finding the Fourth Proportional to 398,951.40, 597,928.14 and 199,327.68

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Solution

The fourth proportional to 398,951.40, 597,928.14 and 199,327.68 is: 298,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,951.40 : 597,928.14 = 199,327.68 : x
  2. Step 2: Convert to fraction form
    398,951.40/597,928.14 = 199,327.68/x
  3. Step 3: Cross multiply
    398,951.40x = 597,928.14 × 199,327.68
  4. Step 4: Simplify right side
    398,951.40x = 119,183,628,952.92
  5. Step 5: Solve for x
    x = 119,183,628,952.92/398,951.40
  6. Step 6: Final answer
    x = 298,742.23

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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.