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Finding the Fourth Proportional to 376,433.80, 519,479.52 and 206,678.86

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Solution

The fourth proportional to 376,433.80, 519,479.52 and 206,678.86 is: 285,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,433.80 : 519,479.52 = 206,678.86 : x
  2. Step 2: Convert to fraction form
    376,433.80/519,479.52 = 206,678.86/x
  3. Step 3: Cross multiply
    376,433.80x = 519,479.52 × 206,678.86
  4. Step 4: Simplify right side
    376,433.80x = 107,365,434,986.95
  5. Step 5: Solve for x
    x = 107,365,434,986.95/376,433.80
  6. Step 6: Final answer
    x = 285,217.31

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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.