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Finding the Fourth Proportional to 206,784.80, 309,658.80 and 165,312.80

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Solution

The fourth proportional to 206,784.80, 309,658.80 and 165,312.80 is: 247,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,784.80 : 309,658.80 = 165,312.80 : x
  2. Step 2: Convert to fraction form
    206,784.80/309,658.80 = 165,312.80/x
  3. Step 3: Cross multiply
    206,784.80x = 309,658.80 × 165,312.80
  4. Step 4: Simplify right side
    206,784.80x = 51,190,563,272.64
  5. Step 5: Solve for x
    x = 51,190,563,272.64/206,784.80
  6. Step 6: Final answer
    x = 247,554.77

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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.