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Finding the Fourth Proportional to 491,566.50, 678,350.61 and 273,773.70

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Solution

The fourth proportional to 491,566.50, 678,350.61 and 273,773.70 is: 377,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,566.50 : 678,350.61 = 273,773.70 : x
  2. Step 2: Convert to fraction form
    491,566.50/678,350.61 = 273,773.70/x
  3. Step 3: Cross multiply
    491,566.50x = 678,350.61 × 273,773.70
  4. Step 4: Simplify right side
    491,566.50x = 185,714,556,396.96
  5. Step 5: Solve for x
    x = 185,714,556,396.96/491,566.50
  6. Step 6: Final answer
    x = 377,801.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.