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Finding the Fourth Proportional to 206,416.30, 309,624.45 and 164,944.30

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Solution

The fourth proportional to 206,416.30, 309,624.45 and 164,944.30 is: 247,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.30 : 309,624.45 = 164,944.30 : x
  2. Step 2: Convert to fraction form
    206,416.30/309,624.45 = 164,944.30/x
  3. Step 3: Cross multiply
    206,416.30x = 309,624.45 × 164,944.30
  4. Step 4: Simplify right side
    206,416.30x = 51,070,788,168.14
  5. Step 5: Solve for x
    x = 51,070,788,168.14/206,416.30
  6. Step 6: Final answer
    x = 247,416.45

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1.5x scale

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.