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Finding the Fourth Proportional to 376,751.25, 519,920.37 and 206,989.02

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Solution

The fourth proportional to 376,751.25, 519,920.37 and 206,989.02 is: 285,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,751.25 : 519,920.37 = 206,989.02 : x
  2. Step 2: Convert to fraction form
    376,751.25/519,920.37 = 206,989.02/x
  3. Step 3: Cross multiply
    376,751.25x = 519,920.37 × 206,989.02
  4. Step 4: Simplify right side
    376,751.25x = 107,617,807,864.34
  5. Step 5: Solve for x
    x = 107,617,807,864.34/376,751.25
  6. Step 6: Final answer
    x = 285,646.85

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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.