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Finding the Fourth Proportional to 512,904.20, 769,356.30 and 505,905.80

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Solution

The fourth proportional to 512,904.20, 769,356.30 and 505,905.80 is: 758,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,904.20 : 769,356.30 = 505,905.80 : x
  2. Step 2: Convert to fraction form
    512,904.20/769,356.30 = 505,905.80/x
  3. Step 3: Cross multiply
    512,904.20x = 769,356.30 × 505,905.80
  4. Step 4: Simplify right side
    512,904.20x = 389,221,814,436.54
  5. Step 5: Solve for x
    x = 389,221,814,436.54/512,904.20
  6. Step 6: Final answer
    x = 758,858.70

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Double scale
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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.