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Finding the Fourth Proportional to 355,865.94, 491,073.84 and 194,688.90

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Solution

The fourth proportional to 355,865.94, 491,073.84 and 194,688.90 is: 268,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,865.94 : 491,073.84 = 194,688.90 : x
  2. Step 2: Convert to fraction form
    355,865.94/491,073.84 = 194,688.90/x
  3. Step 3: Cross multiply
    355,865.94x = 491,073.84 × 194,688.90
  4. Step 4: Simplify right side
    355,865.94x = 95,606,625,728.38
  5. Step 5: Solve for x
    x = 95,606,625,728.38/355,865.94
  6. Step 6: Final answer
    x = 268,659.11

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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.