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Finding the Fourth Proportional to 512,998.20, 769,497.30 and 310,919.40

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Solution

The fourth proportional to 512,998.20, 769,497.30 and 310,919.40 is: 466,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,998.20 : 769,497.30 = 310,919.40 : x
  2. Step 2: Convert to fraction form
    512,998.20/769,497.30 = 310,919.40/x
  3. Step 3: Cross multiply
    512,998.20x = 769,497.30 × 310,919.40
  4. Step 4: Simplify right side
    512,998.20x = 239,251,638,817.62
  5. Step 5: Solve for x
    x = 239,251,638,817.62/512,998.20
  6. Step 6: Final answer
    x = 466,379.10

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Double scale
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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.