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Finding the Fourth Proportional to 355,419.43, 490,478.82 and 194,275.11

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Solution

The fourth proportional to 355,419.43, 490,478.82 and 194,275.11 is: 268,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,419.43 : 490,478.82 = 194,275.11 : x
  2. Step 2: Convert to fraction form
    355,419.43/490,478.82 = 194,275.11/x
  3. Step 3: Cross multiply
    355,419.43x = 490,478.82 × 194,275.11
  4. Step 4: Simplify right side
    355,419.43x = 95,287,826,708.17
  5. Step 5: Solve for x
    x = 95,287,826,708.17/355,419.43
  6. Step 6: Final answer
    x = 268,099.66

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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.