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Finding the Fourth Proportional to 496,020.80, 742,994.40 and 274,145.60

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Solution

The fourth proportional to 496,020.80, 742,994.40 and 274,145.60 is: 410,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,020.80 : 742,994.40 = 274,145.60 : x
  2. Step 2: Convert to fraction form
    496,020.80/742,994.40 = 274,145.60/x
  3. Step 3: Cross multiply
    496,020.80x = 742,994.40 × 274,145.60
  4. Step 4: Simplify right side
    496,020.80x = 203,688,645,584.64
  5. Step 5: Solve for x
    x = 203,688,645,584.64/496,020.80
  6. Step 6: Final answer
    x = 410,645.37

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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.