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Finding the Fourth Proportional to 398,850.42, 597,776.73 and 199,226.55

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Solution

The fourth proportional to 398,850.42, 597,776.73 and 199,226.55 is: 298,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,850.42 : 597,776.73 = 199,226.55 : x
  2. Step 2: Convert to fraction form
    398,850.42/597,776.73 = 199,226.55/x
  3. Step 3: Cross multiply
    398,850.42x = 597,776.73 × 199,226.55
  4. Step 4: Simplify right side
    398,850.42x = 119,092,995,588.18
  5. Step 5: Solve for x
    x = 119,092,995,588.18/398,850.42
  6. Step 6: Final answer
    x = 298,590.62

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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.