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Finding the Fourth Proportional to 381,154.55, 571,670.47 and 111,219.31

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Solution

The fourth proportional to 381,154.55, 571,670.47 and 111,219.31 is: 166,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,154.55 : 571,670.47 = 111,219.31 : x
  2. Step 2: Convert to fraction form
    381,154.55/571,670.47 = 111,219.31/x
  3. Step 3: Cross multiply
    381,154.55x = 571,670.47 × 111,219.31
  4. Step 4: Simplify right side
    381,154.55x = 63,580,795,220.78
  5. Step 5: Solve for x
    x = 63,580,795,220.78/381,154.55
  6. Step 6: Final answer
    x = 166,811.06

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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.