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Finding the Fourth Proportional to 381,019.50, 525,825.14 and 211,253.63

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Solution

The fourth proportional to 381,019.50, 525,825.14 and 211,253.63 is: 291,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,019.50 : 525,825.14 = 211,253.63 : x
  2. Step 2: Convert to fraction form
    381,019.50/525,825.14 = 211,253.63/x
  3. Step 3: Cross multiply
    381,019.50x = 525,825.14 × 211,253.63
  4. Step 4: Simplify right side
    381,019.50x = 111,082,465,884.86
  5. Step 5: Solve for x
    x = 111,082,465,884.86/381,019.50
  6. Step 6: Final answer
    x = 291,540.11

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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.