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Finding the Fourth Proportional to 506,077.20, 759,115.80 and 206,458.20

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Solution

The fourth proportional to 506,077.20, 759,115.80 and 206,458.20 is: 309,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,077.20 : 759,115.80 = 206,458.20 : x
  2. Step 2: Convert to fraction form
    506,077.20/759,115.80 = 206,458.20/x
  3. Step 3: Cross multiply
    506,077.20x = 759,115.80 × 206,458.20
  4. Step 4: Simplify right side
    506,077.20x = 156,725,681,659.56
  5. Step 5: Solve for x
    x = 156,725,681,659.56/506,077.20
  6. Step 6: Final answer
    x = 309,687.30

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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.