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Finding the Fourth Proportional to 275,303.85, 412,911.60 and 75,577.60

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Solution

The fourth proportional to 275,303.85, 412,911.60 and 75,577.60 is: 113,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,303.85 : 412,911.60 = 75,577.60 : x
  2. Step 2: Convert to fraction form
    275,303.85/412,911.60 = 75,577.60/x
  3. Step 3: Cross multiply
    275,303.85x = 412,911.60 × 75,577.60
  4. Step 4: Simplify right side
    275,303.85x = 31,206,867,740.16
  5. Step 5: Solve for x
    x = 31,206,867,740.16/275,303.85
  6. Step 6: Final answer
    x = 113,354.27

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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.