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Finding the Fourth Proportional to 206,405.28, 309,608.19 and 56,647.62

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Solution

The fourth proportional to 206,405.28, 309,608.19 and 56,647.62 is: 84,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405.28 : 309,608.19 = 56,647.62 : x
  2. Step 2: Convert to fraction form
    206,405.28/309,608.19 = 56,647.62/x
  3. Step 3: Cross multiply
    206,405.28x = 309,608.19 × 56,647.62
  4. Step 4: Simplify right side
    206,405.28x = 17,538,567,096.01
  5. Step 5: Solve for x
    x = 17,538,567,096.01/206,405.28
  6. Step 6: Final answer
    x = 84,971.50

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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.