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Finding the Fourth Proportional to 376,328.40, 519,339.08 and 206,578

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Solution

The fourth proportional to 376,328.40, 519,339.08 and 206,578 is: 285,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,328.40 : 519,339.08 = 206,578 : x
  2. Step 2: Convert to fraction form
    376,328.40/519,339.08 = 206,578/x
  3. Step 3: Cross multiply
    376,328.40x = 519,339.08 × 206,578
  4. Step 4: Simplify right side
    376,328.40x = 107,284,028,468.24
  5. Step 5: Solve for x
    x = 107,284,028,468.24/376,328.40
  6. Step 6: Final answer
    x = 285,080.87

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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.