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Finding the Fourth Proportional to 491,016.40, 736,006.20 and 191,381.20

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Solution

The fourth proportional to 491,016.40, 736,006.20 and 191,381.20 is: 286,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,016.40 : 736,006.20 = 191,381.20 : x
  2. Step 2: Convert to fraction form
    491,016.40/736,006.20 = 191,381.20/x
  3. Step 3: Cross multiply
    491,016.40x = 736,006.20 × 191,381.20
  4. Step 4: Simplify right side
    491,016.40x = 140,857,749,763.44
  5. Step 5: Solve for x
    x = 140,857,749,763.44/491,016.40
  6. Step 6: Final answer
    x = 286,869.75

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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.