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Finding the Fourth Proportional to 381,153.55, 571,668.98 and 111,218.31

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Solution

The fourth proportional to 381,153.55, 571,668.98 and 111,218.31 is: 166,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,153.55 : 571,668.98 = 111,218.31 : x
  2. Step 2: Convert to fraction form
    381,153.55/571,668.98 = 111,218.31/x
  3. Step 3: Cross multiply
    381,153.55x = 571,668.98 × 111,218.31
  4. Step 4: Simplify right side
    381,153.55x = 63,580,057,278.93
  5. Step 5: Solve for x
    x = 63,580,057,278.93/381,153.55
  6. Step 6: Final answer
    x = 166,809.57

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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.