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Finding the Fourth Proportional to 397,578.19, 548,645.41 and 216,285.46

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Solution

The fourth proportional to 397,578.19, 548,645.41 and 216,285.46 is: 298,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,578.19 : 548,645.41 = 216,285.46 : x
  2. Step 2: Convert to fraction form
    397,578.19/548,645.41 = 216,285.46/x
  3. Step 3: Cross multiply
    397,578.19x = 548,645.41 × 216,285.46
  4. Step 4: Simplify right side
    397,578.19x = 118,664,023,797.31
  5. Step 5: Solve for x
    x = 118,664,023,797.31/397,578.19
  6. Step 6: Final answer
    x = 298,467.14

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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.