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Finding the Fourth Proportional to 398,716.38, 550,241.89 and 217,438.20

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Solution

The fourth proportional to 398,716.38, 550,241.89 and 217,438.20 is: 300,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,716.38 : 550,241.89 = 217,438.20 : x
  2. Step 2: Convert to fraction form
    398,716.38/550,241.89 = 217,438.20/x
  3. Step 3: Cross multiply
    398,716.38x = 550,241.89 × 217,438.20
  4. Step 4: Simplify right side
    398,716.38x = 119,643,605,582.60
  5. Step 5: Solve for x
    x = 119,643,605,582.60/398,716.38
  6. Step 6: Final answer
    x = 300,071.96

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1.5x scale

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.