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Finding the Fourth Proportional to 288,240.91, 397,938.44 and 191,575.82

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Solution

The fourth proportional to 288,240.91, 397,938.44 and 191,575.82 is: 264,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,240.91 : 397,938.44 = 191,575.82 : x
  2. Step 2: Convert to fraction form
    288,240.91/397,938.44 = 191,575.82/x
  3. Step 3: Cross multiply
    288,240.91x = 397,938.44 × 191,575.82
  4. Step 4: Simplify right side
    288,240.91x = 76,235,384,426.31
  5. Step 5: Solve for x
    x = 76,235,384,426.31/288,240.91
  6. Step 6: Final answer
    x = 264,484.96

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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.