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Finding the Fourth Proportional to 206,004.20, 308,714.70 and 180,926.60

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Solution

The fourth proportional to 206,004.20, 308,714.70 and 180,926.60 is: 271,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,004.20 : 308,714.70 = 180,926.60 : x
  2. Step 2: Convert to fraction form
    206,004.20/308,714.70 = 180,926.60/x
  3. Step 3: Cross multiply
    206,004.20x = 308,714.70 × 180,926.60
  4. Step 4: Simplify right side
    206,004.20x = 55,854,701,041.02
  5. Step 5: Solve for x
    x = 55,854,701,041.02/206,004.20
  6. Step 6: Final answer
    x = 271,133.80

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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.