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Finding the Fourth Proportional to 397,693.91, 596,634.29 and 131,454.43

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Solution

The fourth proportional to 397,693.91, 596,634.29 and 131,454.43 is: 197,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,693.91 : 596,634.29 = 131,454.43 : x
  2. Step 2: Convert to fraction form
    397,693.91/596,634.29 = 131,454.43/x
  3. Step 3: Cross multiply
    397,693.91x = 596,634.29 × 131,454.43
  4. Step 4: Simplify right side
    397,693.91x = 78,430,219,347.46
  5. Step 5: Solve for x
    x = 78,430,219,347.46/397,693.91
  6. Step 6: Final answer
    x = 197,212.53

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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.