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Finding the Fourth Proportional to 376,576, 519,720.96 and 217,600

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Solution

The fourth proportional to 376,576, 519,720.96 and 217,600 is: 300,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,576 : 519,720.96 = 217,600 : x
  2. Step 2: Convert to fraction form
    376,576/519,720.96 = 217,600/x
  3. Step 3: Cross multiply
    376,576x = 519,720.96 × 217,600
  4. Step 4: Simplify right side
    376,576x = 113,091,280,896
  5. Step 5: Solve for x
    x = 113,091,280,896/376,576
  6. Step 6: Final answer
    x = 300,314.63

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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.