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Finding the Fourth Proportional to 397,638.70, 548,724.98 and 216,351.35

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Solution

The fourth proportional to 397,638.70, 548,724.98 and 216,351.35 is: 298,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,638.70 : 548,724.98 = 216,351.35 : x
  2. Step 2: Convert to fraction form
    397,638.70/548,724.98 = 216,351.35/x
  3. Step 3: Cross multiply
    397,638.70x = 548,724.98 × 216,351.35
  4. Step 4: Simplify right side
    397,638.70x = 118,717,389,119.97
  5. Step 5: Solve for x
    x = 118,717,389,119.97/397,638.70
  6. Step 6: Final answer
    x = 298,555.93

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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.