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Finding the Fourth Proportional to 206,532.63, 309,197.20 and 153,459.83

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Solution

The fourth proportional to 206,532.63, 309,197.20 and 153,459.83 is: 229,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,532.63 : 309,197.20 = 153,459.83 : x
  2. Step 2: Convert to fraction form
    206,532.63/309,197.20 = 153,459.83/x
  3. Step 3: Cross multiply
    206,532.63x = 309,197.20 × 153,459.83
  4. Step 4: Simplify right side
    206,532.63x = 47,449,350,137.82
  5. Step 5: Solve for x
    x = 47,449,350,137.82/206,532.63
  6. Step 6: Final answer
    x = 229,742.63

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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.