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Finding the Fourth Proportional to 206,429.70, 310,344.45 and 164,841.06

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Solution

The fourth proportional to 206,429.70, 310,344.45 and 164,841.06 is: 247,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429.70 : 310,344.45 = 164,841.06 : x
  2. Step 2: Convert to fraction form
    206,429.70/310,344.45 = 164,841.06/x
  3. Step 3: Cross multiply
    206,429.70x = 310,344.45 × 164,841.06
  4. Step 4: Simplify right side
    206,429.70x = 51,157,508,103.12
  5. Step 5: Solve for x
    x = 51,157,508,103.12/206,429.70
  6. Step 6: Final answer
    x = 247,820.48

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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.