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Finding the Fourth Proportional to 398,781.28, 550,302.96 and 219,933.28

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Solution

The fourth proportional to 398,781.28, 550,302.96 and 219,933.28 is: 303,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,781.28 : 550,302.96 = 219,933.28 : x
  2. Step 2: Convert to fraction form
    398,781.28/550,302.96 = 219,933.28/x
  3. Step 3: Cross multiply
    398,781.28x = 550,302.96 × 219,933.28
  4. Step 4: Simplify right side
    398,781.28x = 121,029,934,986.51
  5. Step 5: Solve for x
    x = 121,029,934,986.51/398,781.28
  6. Step 6: Final answer
    x = 303,499.54

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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.