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Finding the Fourth Proportional to 491,211.54, 736,843.23 and 158,813.46

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Solution

The fourth proportional to 491,211.54, 736,843.23 and 158,813.46 is: 238,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,211.54 : 736,843.23 = 158,813.46 : x
  2. Step 2: Convert to fraction form
    491,211.54/736,843.23 = 158,813.46/x
  3. Step 3: Cross multiply
    491,211.54x = 736,843.23 × 158,813.46
  4. Step 4: Simplify right side
    491,211.54x = 117,020,622,833.88
  5. Step 5: Solve for x
    x = 117,020,622,833.88/491,211.54
  6. Step 6: Final answer
    x = 238,228.57

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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.