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Finding the Fourth Proportional to 355,909.54, 491,151.49 and 202,972.63

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Solution

The fourth proportional to 355,909.54, 491,151.49 and 202,972.63 is: 280,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,909.54 : 491,151.49 = 202,972.63 : x
  2. Step 2: Convert to fraction form
    355,909.54/491,151.49 = 202,972.63/x
  3. Step 3: Cross multiply
    355,909.54x = 491,151.49 × 202,972.63
  4. Step 4: Simplify right side
    355,909.54x = 99,690,309,653.72
  5. Step 5: Solve for x
    x = 99,690,309,653.72/355,909.54
  6. Step 6: Final answer
    x = 280,100.13

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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.