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Finding the Fourth Proportional to 206,466.38, 309,490.41 and 139,913.24

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Solution

The fourth proportional to 206,466.38, 309,490.41 and 139,913.24 is: 209,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,466.38 : 309,490.41 = 139,913.24 : x
  2. Step 2: Convert to fraction form
    206,466.38/309,490.41 = 139,913.24/x
  3. Step 3: Cross multiply
    206,466.38x = 309,490.41 × 139,913.24
  4. Step 4: Simplify right side
    206,466.38x = 43,301,806,012.03
  5. Step 5: Solve for x
    x = 43,301,806,012.03/206,466.38
  6. Step 6: Final answer
    x = 209,728.12

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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.