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Finding the Fourth Proportional to 397,308.54, 548,282.96 and 216,020.52

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Solution

The fourth proportional to 397,308.54, 548,282.96 and 216,020.52 is: 298,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,308.54 : 548,282.96 = 216,020.52 : x
  2. Step 2: Convert to fraction form
    397,308.54/548,282.96 = 216,020.52/x
  3. Step 3: Cross multiply
    397,308.54x = 548,282.96 × 216,020.52
  4. Step 4: Simplify right side
    397,308.54x = 118,440,369,856.31
  5. Step 5: Solve for x
    x = 118,440,369,856.31/397,308.54
  6. Step 6: Final answer
    x = 298,106.78

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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.