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Finding the Fourth Proportional to 397,219.38, 595,641.78 and 144,321.54

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Solution

The fourth proportional to 397,219.38, 595,641.78 and 144,321.54 is: 216,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,219.38 : 595,641.78 = 144,321.54 : x
  2. Step 2: Convert to fraction form
    397,219.38/595,641.78 = 144,321.54/x
  3. Step 3: Cross multiply
    397,219.38x = 595,641.78 × 144,321.54
  4. Step 4: Simplify right side
    397,219.38x = 85,963,938,977.94
  5. Step 5: Solve for x
    x = 85,963,938,977.94/397,219.38
  6. Step 6: Final answer
    x = 216,414.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.