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Finding the Fourth Proportional to 491,378.84, 737,065.82 and 191,889.84

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Solution

The fourth proportional to 491,378.84, 737,065.82 and 191,889.84 is: 287,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,378.84 : 737,065.82 = 191,889.84 : x
  2. Step 2: Convert to fraction form
    491,378.84/737,065.82 = 191,889.84/x
  3. Step 3: Cross multiply
    491,378.84x = 737,065.82 × 191,889.84
  4. Step 4: Simplify right side
    491,378.84x = 141,435,442,269.27
  5. Step 5: Solve for x
    x = 141,435,442,269.27/491,378.84
  6. Step 6: Final answer
    x = 287,833.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.