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Finding the Fourth Proportional to 354,143.25, 488,717.69 and 195,167.25

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Solution

The fourth proportional to 354,143.25, 488,717.69 and 195,167.25 is: 269,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,143.25 : 488,717.69 = 195,167.25 : x
  2. Step 2: Convert to fraction form
    354,143.25/488,717.69 = 195,167.25/x
  3. Step 3: Cross multiply
    354,143.25x = 488,717.69 × 195,167.25
  4. Step 4: Simplify right side
    354,143.25x = 95,381,686,607.82
  5. Step 5: Solve for x
    x = 95,381,686,607.82/354,143.25
  6. Step 6: Final answer
    x = 269,330.81

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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.