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Finding the Fourth Proportional to 354,134.75, 488,705.96 and 195,158.75

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Solution

The fourth proportional to 354,134.75, 488,705.96 and 195,158.75 is: 269,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,134.75 : 488,705.96 = 195,158.75 : x
  2. Step 2: Convert to fraction form
    354,134.75/488,705.96 = 195,158.75/x
  3. Step 3: Cross multiply
    354,134.75x = 488,705.96 × 195,158.75
  4. Step 4: Simplify right side
    354,134.75x = 95,375,243,295.36
  5. Step 5: Solve for x
    x = 95,375,243,295.36/354,134.75
  6. Step 6: Final answer
    x = 269,319.08

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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.