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Finding the Fourth Proportional to 398,684.28, 550,180.29 and 217,395.75

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Solution

The fourth proportional to 398,684.28, 550,180.29 and 217,395.75 is: 300,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,684.28 : 550,180.29 = 217,395.75 : x
  2. Step 2: Convert to fraction form
    398,684.28/550,180.29 = 217,395.75/x
  3. Step 3: Cross multiply
    398,684.28x = 550,180.29 × 217,395.75
  4. Step 4: Simplify right side
    398,684.28x = 119,606,856,779.77
  5. Step 5: Solve for x
    x = 119,606,856,779.77/398,684.28
  6. Step 6: Final answer
    x = 300,003.94

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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.