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Finding the Fourth Proportional to 381,928.86, 527,065.43 and 209,850.43

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Solution

The fourth proportional to 381,928.86, 527,065.43 and 209,850.43 is: 289,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,928.86 : 527,065.43 = 209,850.43 : x
  2. Step 2: Convert to fraction form
    381,928.86/527,065.43 = 209,850.43/x
  3. Step 3: Cross multiply
    381,928.86x = 527,065.43 × 209,850.43
  4. Step 4: Simplify right side
    381,928.86x = 110,604,907,123.64
  5. Step 5: Solve for x
    x = 110,604,907,123.64/381,928.86
  6. Step 6: Final answer
    x = 289,595.57

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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.