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Finding the Fourth Proportional to 512,709.60, 769,064.40 and 512,709.60

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Solution

The fourth proportional to 512,709.60, 769,064.40 and 512,709.60 is: 769,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,709.60 : 769,064.40 = 512,709.60 : x
  2. Step 2: Convert to fraction form
    512,709.60/769,064.40 = 512,709.60/x
  3. Step 3: Cross multiply
    512,709.60x = 769,064.40 × 512,709.60
  4. Step 4: Simplify right side
    512,709.60x = 394,306,700,898.24
  5. Step 5: Solve for x
    x = 394,306,700,898.24/512,709.60
  6. Step 6: Final answer
    x = 769,064.40

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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.