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Finding the Fourth Proportional to 354,139, 488,711.83 and 195,163

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Solution

The fourth proportional to 354,139, 488,711.83 and 195,163 is: 269,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,139 : 488,711.83 = 195,163 : x
  2. Step 2: Convert to fraction form
    354,139/488,711.83 = 195,163/x
  3. Step 3: Cross multiply
    354,139x = 488,711.83 × 195,163
  4. Step 4: Simplify right side
    354,139x = 95,378,466,878.29
  5. Step 5: Solve for x
    x = 95,378,466,878.29/354,139
  6. Step 6: Final answer
    x = 269,324.95

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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.