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Finding the Fourth Proportional to 354,169.40, 488,739.52 and 193,020.98

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Solution

The fourth proportional to 354,169.40, 488,739.52 and 193,020.98 is: 266,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,169.40 : 488,739.52 = 193,020.98 : x
  2. Step 2: Convert to fraction form
    354,169.40/488,739.52 = 193,020.98/x
  3. Step 3: Cross multiply
    354,169.40x = 488,739.52 × 193,020.98
  4. Step 4: Simplify right side
    354,169.40x = 94,336,981,854.43
  5. Step 5: Solve for x
    x = 94,336,981,854.43/354,169.40
  6. Step 6: Final answer
    x = 266,361.19

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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.