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Finding the Fourth Proportional to 206,258.91, 309,388.60 and 56,500.48

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Solution

The fourth proportional to 206,258.91, 309,388.60 and 56,500.48 is: 84,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,258.91 : 309,388.60 = 56,500.48 : x
  2. Step 2: Convert to fraction form
    206,258.91/309,388.60 = 56,500.48/x
  3. Step 3: Cross multiply
    206,258.91x = 309,388.60 × 56,500.48
  4. Step 4: Simplify right side
    206,258.91x = 17,480,604,863.89
  5. Step 5: Solve for x
    x = 17,480,604,863.89/206,258.91
  6. Step 6: Final answer
    x = 84,750.79

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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.