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Finding the Fourth Proportional to 492,142.20, 738,213.30 and 413,410.20

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Solution

The fourth proportional to 492,142.20, 738,213.30 and 413,410.20 is: 620,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,142.20 : 738,213.30 = 413,410.20 : x
  2. Step 2: Convert to fraction form
    492,142.20/738,213.30 = 413,410.20/x
  3. Step 3: Cross multiply
    492,142.20x = 738,213.30 × 413,410.20
  4. Step 4: Simplify right side
    492,142.20x = 305,184,907,995.66
  5. Step 5: Solve for x
    x = 305,184,907,995.66/492,142.20
  6. Step 6: Final answer
    x = 620,115.30

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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.