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Finding the Fourth Proportional to 206,657.20, 309,985.80 and 204,688.90

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Solution

The fourth proportional to 206,657.20, 309,985.80 and 204,688.90 is: 307,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.20 : 309,985.80 = 204,688.90 : x
  2. Step 2: Convert to fraction form
    206,657.20/309,985.80 = 204,688.90/x
  3. Step 3: Cross multiply
    206,657.20x = 309,985.80 × 204,688.90
  4. Step 4: Simplify right side
    206,657.20x = 63,450,652,417.62
  5. Step 5: Solve for x
    x = 63,450,652,417.62/206,657.20
  6. Step 6: Final answer
    x = 307,033.35

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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.