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Finding the Fourth Proportional to 419,076.10, 628,614.15 and 381,678.40

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Solution

The fourth proportional to 419,076.10, 628,614.15 and 381,678.40 is: 572,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,076.10 : 628,614.15 = 381,678.40 : x
  2. Step 2: Convert to fraction form
    419,076.10/628,614.15 = 381,678.40/x
  3. Step 3: Cross multiply
    419,076.10x = 628,614.15 × 381,678.40
  4. Step 4: Simplify right side
    419,076.10x = 239,928,442,989.36
  5. Step 5: Solve for x
    x = 239,928,442,989.36/419,076.10
  6. Step 6: Final answer
    x = 572,517.60

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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.