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Finding the Fourth Proportional to 376,590.73, 519,699.30 and 206,824.86

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Solution

The fourth proportional to 376,590.73, 519,699.30 and 206,824.86 is: 285,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,590.73 : 519,699.30 = 206,824.86 : x
  2. Step 2: Convert to fraction form
    376,590.73/519,699.30 = 206,824.86/x
  3. Step 3: Cross multiply
    376,590.73x = 519,699.30 × 206,824.86
  4. Step 4: Simplify right side
    376,590.73x = 107,486,734,964.60
  5. Step 5: Solve for x
    x = 107,486,734,964.60/376,590.73
  6. Step 6: Final answer
    x = 285,420.55

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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.