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Finding the Fourth Proportional to 306,921.60, 423,617.16 and 206,261.28

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Solution

The fourth proportional to 306,921.60, 423,617.16 and 206,261.28 is: 284,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,921.60 : 423,617.16 = 206,261.28 : x
  2. Step 2: Convert to fraction form
    306,921.60/423,617.16 = 206,261.28/x
  3. Step 3: Cross multiply
    306,921.60x = 423,617.16 × 206,261.28
  4. Step 4: Simplify right side
    306,921.60x = 87,375,817,651.56
  5. Step 5: Solve for x
    x = 87,375,817,651.56/306,921.60
  6. Step 6: Final answer
    x = 284,684.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.