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Finding the Fourth Proportional to 354,134, 488,704.92 and 195,158

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Solution

The fourth proportional to 354,134, 488,704.92 and 195,158 is: 269,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,134 : 488,704.92 = 195,158 : x
  2. Step 2: Convert to fraction form
    354,134/488,704.92 = 195,158/x
  3. Step 3: Cross multiply
    354,134x = 488,704.92 × 195,158
  4. Step 4: Simplify right side
    354,134x = 95,374,674,777.36
  5. Step 5: Solve for x
    x = 95,374,674,777.36/354,134
  6. Step 6: Final answer
    x = 269,318.04

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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.