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Finding the Fourth Proportional to 394,411.80, 591,617.70 and 378,665.40

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Solution

The fourth proportional to 394,411.80, 591,617.70 and 378,665.40 is: 567,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,411.80 : 591,617.70 = 378,665.40 : x
  2. Step 2: Convert to fraction form
    394,411.80/591,617.70 = 378,665.40/x
  3. Step 3: Cross multiply
    394,411.80x = 591,617.70 × 378,665.40
  4. Step 4: Simplify right side
    394,411.80x = 224,025,153,017.58
  5. Step 5: Solve for x
    x = 224,025,153,017.58/394,411.80
  6. Step 6: Final answer
    x = 567,998.10

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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.