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Finding the Fourth Proportional to 397,641.95, 548,729.46 and 216,354.62

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Solution

The fourth proportional to 397,641.95, 548,729.46 and 216,354.62 is: 298,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,641.95 : 548,729.46 = 216,354.62 : x
  2. Step 2: Convert to fraction form
    397,641.95/548,729.46 = 216,354.62/x
  3. Step 3: Cross multiply
    397,641.95x = 548,729.46 × 216,354.62
  4. Step 4: Simplify right side
    397,641.95x = 118,720,151,057.46
  5. Step 5: Solve for x
    x = 118,720,151,057.46/397,641.95
  6. Step 6: Final answer
    x = 298,560.43

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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.