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Finding the Fourth Proportional to 514,651.20, 771,976.80 and 140,674.20

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Solution

The fourth proportional to 514,651.20, 771,976.80 and 140,674.20 is: 211,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,651.20 : 771,976.80 = 140,674.20 : x
  2. Step 2: Convert to fraction form
    514,651.20/771,976.80 = 140,674.20/x
  3. Step 3: Cross multiply
    514,651.20x = 771,976.80 × 140,674.20
  4. Step 4: Simplify right side
    514,651.20x = 108,597,218,758.56
  5. Step 5: Solve for x
    x = 108,597,218,758.56/514,651.20
  6. Step 6: Final answer
    x = 211,011.30

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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.