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Finding the Fourth Proportional to 398,838.80, 550,399.20 and 217,554.60

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Solution

The fourth proportional to 398,838.80, 550,399.20 and 217,554.60 is: 300,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,838.80 : 550,399.20 = 217,554.60 : x
  2. Step 2: Convert to fraction form
    398,838.80/550,399.20 = 217,554.60/x
  3. Step 3: Cross multiply
    398,838.80x = 550,399.20 × 217,554.60
  4. Step 4: Simplify right side
    398,838.80x = 119,741,877,796.32
  5. Step 5: Solve for x
    x = 119,741,877,796.32/398,838.80
  6. Step 6: Final answer
    x = 300,226.25

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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.