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Finding the Fourth Proportional to 512,813.80, 769,220.70 and 138,836.20

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Solution

The fourth proportional to 512,813.80, 769,220.70 and 138,836.20 is: 208,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,813.80 : 769,220.70 = 138,836.20 : x
  2. Step 2: Convert to fraction form
    512,813.80/769,220.70 = 138,836.20/x
  3. Step 3: Cross multiply
    512,813.80x = 769,220.70 × 138,836.20
  4. Step 4: Simplify right side
    512,813.80x = 106,795,678,949.34
  5. Step 5: Solve for x
    x = 106,795,678,949.34/512,813.80
  6. Step 6: Final answer
    x = 208,254.30

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Similar ratio
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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.