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Finding the Fourth Proportional to 381,012.15, 571,860.86 and 203,670.75

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Solution

The fourth proportional to 381,012.15, 571,860.86 and 203,670.75 is: 305,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,012.15 : 571,860.86 = 203,670.75 : x
  2. Step 2: Convert to fraction form
    381,012.15/571,860.86 = 203,670.75/x
  3. Step 3: Cross multiply
    381,012.15x = 571,860.86 × 203,670.75
  4. Step 4: Simplify right side
    381,012.15x = 116,471,329,233.49
  5. Step 5: Solve for x
    x = 116,471,329,233.49/381,012.15
  6. Step 6: Final answer
    x = 305,689.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.