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Finding the Fourth Proportional to 381,980.41, 527,132.85 and 209,909.47

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Solution

The fourth proportional to 381,980.41, 527,132.85 and 209,909.47 is: 289,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,980.41 : 527,132.85 = 209,909.47 : x
  2. Step 2: Convert to fraction form
    381,980.41/527,132.85 = 209,909.47/x
  3. Step 3: Cross multiply
    381,980.41x = 527,132.85 × 209,909.47
  4. Step 4: Simplify right side
    381,980.41x = 110,650,177,163.09
  5. Step 5: Solve for x
    x = 110,650,177,163.09/381,980.41
  6. Step 6: Final answer
    x = 289,675.00

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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.