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Finding the Fourth Proportional to 491,745.60, 737,618.40 and 305,121.60

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Solution

The fourth proportional to 491,745.60, 737,618.40 and 305,121.60 is: 457,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,745.60 : 737,618.40 = 305,121.60 : x
  2. Step 2: Convert to fraction form
    491,745.60/737,618.40 = 305,121.60/x
  3. Step 3: Cross multiply
    491,745.60x = 737,618.40 × 305,121.60
  4. Step 4: Simplify right side
    491,745.60x = 225,063,306,397.44
  5. Step 5: Solve for x
    x = 225,063,306,397.44/491,745.60
  6. Step 6: Final answer
    x = 457,682.40

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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.