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Finding the Fourth Proportional to 206,409.20, 309,657.56 and 66,266.24

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Solution

The fourth proportional to 206,409.20, 309,657.56 and 66,266.24 is: 99,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,409.20 : 309,657.56 = 66,266.24 : x
  2. Step 2: Convert to fraction form
    206,409.20/309,657.56 = 66,266.24/x
  3. Step 3: Cross multiply
    206,409.20x = 309,657.56 × 66,266.24
  4. Step 4: Simplify right side
    206,409.20x = 20,519,840,309.16
  5. Step 5: Solve for x
    x = 20,519,840,309.16/206,409.20
  6. Step 6: Final answer
    x = 99,413.40

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1.5x scale

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.