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Finding the Fourth Proportional to 381,011.90, 571,860.48 and 203,670.50

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Solution

The fourth proportional to 381,011.90, 571,860.48 and 203,670.50 is: 305,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,011.90 : 571,860.48 = 203,670.50 : x
  2. Step 2: Convert to fraction form
    381,011.90/571,860.48 = 203,670.50/x
  3. Step 3: Cross multiply
    381,011.90x = 571,860.48 × 203,670.50
  4. Step 4: Simplify right side
    381,011.90x = 116,471,109,891.84
  5. Step 5: Solve for x
    x = 116,471,109,891.84/381,011.90
  6. Step 6: Final answer
    x = 305,688.90

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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.