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Finding the Fourth Proportional to 493,140.80, 739,711.20 and 177,556.70

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Solution

The fourth proportional to 493,140.80, 739,711.20 and 177,556.70 is: 266,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,140.80 : 739,711.20 = 177,556.70 : x
  2. Step 2: Convert to fraction form
    493,140.80/739,711.20 = 177,556.70/x
  3. Step 3: Cross multiply
    493,140.80x = 739,711.20 × 177,556.70
  4. Step 4: Simplify right side
    493,140.80x = 131,340,679,625.04
  5. Step 5: Solve for x
    x = 131,340,679,625.04/493,140.80
  6. Step 6: Final answer
    x = 266,335.05

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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.