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Finding the Fourth Proportional to 206,846.40, 310,423.20 and 82,276.80

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Solution

The fourth proportional to 206,846.40, 310,423.20 and 82,276.80 is: 123,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,846.40 : 310,423.20 = 82,276.80 : x
  2. Step 2: Convert to fraction form
    206,846.40/310,423.20 = 82,276.80/x
  3. Step 3: Cross multiply
    206,846.40x = 310,423.20 × 82,276.80
  4. Step 4: Simplify right side
    206,846.40x = 25,540,627,541.76
  5. Step 5: Solve for x
    x = 25,540,627,541.76/206,846.40
  6. Step 6: Final answer
    x = 123,476.30

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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.