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Finding the Fourth Proportional to 398,767.50, 550,299.18 and 219,919.50

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Solution

The fourth proportional to 398,767.50, 550,299.18 and 219,919.50 is: 303,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,767.50 : 550,299.18 = 219,919.50 : x
  2. Step 2: Convert to fraction form
    398,767.50/550,299.18 = 219,919.50/x
  3. Step 3: Cross multiply
    398,767.50x = 550,299.18 × 219,919.50
  4. Step 4: Simplify right side
    398,767.50x = 121,021,520,516.01
  5. Step 5: Solve for x
    x = 121,021,520,516.01/398,767.50
  6. Step 6: Final answer
    x = 303,488.93

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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.