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Finding the Fourth Proportional to 491,408.64, 737,077.76 and 191,833.28

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Solution

The fourth proportional to 491,408.64, 737,077.76 and 191,833.28 is: 287,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,408.64 : 737,077.76 = 191,833.28 : x
  2. Step 2: Convert to fraction form
    491,408.64/737,077.76 = 191,833.28/x
  3. Step 3: Cross multiply
    491,408.64x = 737,077.76 × 191,833.28
  4. Step 4: Simplify right side
    491,408.64x = 141,396,044,315.85
  5. Step 5: Solve for x
    x = 141,396,044,315.85/491,408.64
  6. Step 6: Final answer
    x = 287,736.18

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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.