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Finding the Fourth Proportional to 288,242.56, 397,940.72 and 191,577.50

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Solution

The fourth proportional to 288,242.56, 397,940.72 and 191,577.50 is: 264,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,242.56 : 397,940.72 = 191,577.50 : x
  2. Step 2: Convert to fraction form
    288,242.56/397,940.72 = 191,577.50/x
  3. Step 3: Cross multiply
    288,242.56x = 397,940.72 × 191,577.50
  4. Step 4: Simplify right side
    288,242.56x = 76,236,488,285.80
  5. Step 5: Solve for x
    x = 76,236,488,285.80/288,242.56
  6. Step 6: Final answer
    x = 264,487.27

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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.