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Finding the Fourth Proportional to 206,478.86, 309,701.28 and 146,258.60

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Solution

The fourth proportional to 206,478.86, 309,701.28 and 146,258.60 is: 219,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478.86 : 309,701.28 = 146,258.60 : x
  2. Step 2: Convert to fraction form
    206,478.86/309,701.28 = 146,258.60/x
  3. Step 3: Cross multiply
    206,478.86x = 309,701.28 × 146,258.60
  4. Step 4: Simplify right side
    206,478.86x = 45,296,475,631.01
  5. Step 5: Solve for x
    x = 45,296,475,631.01/206,478.86
  6. Step 6: Final answer
    x = 219,375.85

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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.