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Finding the Fourth Proportional to 490,997.70, 736,496.55 and 414,015.30

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Solution

The fourth proportional to 490,997.70, 736,496.55 and 414,015.30 is: 621,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,997.70 : 736,496.55 = 414,015.30 : x
  2. Step 2: Convert to fraction form
    490,997.70/736,496.55 = 414,015.30/x
  3. Step 3: Cross multiply
    490,997.70x = 736,496.55 × 414,015.30
  4. Step 4: Simplify right side
    490,997.70x = 304,920,840,097.22
  5. Step 5: Solve for x
    x = 304,920,840,097.22/490,997.70
  6. Step 6: Final answer
    x = 621,022.95

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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.