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Finding the Fourth Proportional to 206,682.40, 310,023.60 and 205,127.20

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Solution

The fourth proportional to 206,682.40, 310,023.60 and 205,127.20 is: 307,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,682.40 : 310,023.60 = 205,127.20 : x
  2. Step 2: Convert to fraction form
    206,682.40/310,023.60 = 205,127.20/x
  3. Step 3: Cross multiply
    206,682.40x = 310,023.60 × 205,127.20
  4. Step 4: Simplify right side
    206,682.40x = 63,594,273,001.92
  5. Step 5: Solve for x
    x = 63,594,273,001.92/206,682.40
  6. Step 6: Final answer
    x = 307,690.80

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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.