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Finding the Fourth Proportional to 206,579.70, 309,869.55 and 146,445.30

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Solution

The fourth proportional to 206,579.70, 309,869.55 and 146,445.30 is: 219,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,579.70 : 309,869.55 = 146,445.30 : x
  2. Step 2: Convert to fraction form
    206,579.70/309,869.55 = 146,445.30/x
  3. Step 3: Cross multiply
    206,579.70x = 309,869.55 × 146,445.30
  4. Step 4: Simplify right side
    206,579.70x = 45,378,939,210.62
  5. Step 5: Solve for x
    x = 45,378,939,210.62/206,579.70
  6. Step 6: Final answer
    x = 219,667.95

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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.