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Finding the Fourth Proportional to 354,434.91, 489,115.76 and 193,286.22

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Solution

The fourth proportional to 354,434.91, 489,115.76 and 193,286.22 is: 266,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,434.91 : 489,115.76 = 193,286.22 : x
  2. Step 2: Convert to fraction form
    354,434.91/489,115.76 = 193,286.22/x
  3. Step 3: Cross multiply
    354,434.91x = 489,115.76 × 193,286.22
  4. Step 4: Simplify right side
    354,434.91x = 94,539,336,392.83
  5. Step 5: Solve for x
    x = 94,539,336,392.83/354,434.91
  6. Step 6: Final answer
    x = 266,732.58

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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.