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Finding the Fourth Proportional to 357,138.33, 492,861.69 and 196,003.95

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Solution

The fourth proportional to 357,138.33, 492,861.69 and 196,003.95 is: 270,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,138.33 : 492,861.69 = 196,003.95 : x
  2. Step 2: Convert to fraction form
    357,138.33/492,861.69 = 196,003.95/x
  3. Step 3: Cross multiply
    357,138.33x = 492,861.69 × 196,003.95
  4. Step 4: Simplify right side
    357,138.33x = 96,602,838,043.68
  5. Step 5: Solve for x
    x = 96,602,838,043.68/357,138.33
  6. Step 6: Final answer
    x = 270,491.38

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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.