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Finding the Fourth Proportional to 206,820.30, 310,230.45 and 165,348.30

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Solution

The fourth proportional to 206,820.30, 310,230.45 and 165,348.30 is: 248,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,820.30 : 310,230.45 = 165,348.30 : x
  2. Step 2: Convert to fraction form
    206,820.30/310,230.45 = 165,348.30/x
  3. Step 3: Cross multiply
    206,820.30x = 310,230.45 × 165,348.30
  4. Step 4: Simplify right side
    206,820.30x = 51,296,077,515.74
  5. Step 5: Solve for x
    x = 51,296,077,515.74/206,820.30
  6. Step 6: Final answer
    x = 248,022.45

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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.