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Finding the Fourth Proportional to 489,100.80, 734,015.70 and 252,321.60

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Solution

The fourth proportional to 489,100.80, 734,015.70 and 252,321.60 is: 378,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,100.80 : 734,015.70 = 252,321.60 : x
  2. Step 2: Convert to fraction form
    489,100.80/734,015.70 = 252,321.60/x
  3. Step 3: Cross multiply
    489,100.80x = 734,015.70 × 252,321.60
  4. Step 4: Simplify right side
    489,100.80x = 185,208,015,849.12
  5. Step 5: Solve for x
    x = 185,208,015,849.12/489,100.80
  6. Step 6: Final answer
    x = 378,670.44

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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.