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Finding the Fourth Proportional to 206,421.20, 309,631.80 and 180,177.20

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Solution

The fourth proportional to 206,421.20, 309,631.80 and 180,177.20 is: 270,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.20 : 309,631.80 = 180,177.20 : x
  2. Step 2: Convert to fraction form
    206,421.20/309,631.80 = 180,177.20/x
  3. Step 3: Cross multiply
    206,421.20x = 309,631.80 × 180,177.20
  4. Step 4: Simplify right side
    206,421.20x = 55,788,590,754.96
  5. Step 5: Solve for x
    x = 55,788,590,754.96/206,421.20
  6. Step 6: Final answer
    x = 270,265.80

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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.