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Finding the Fourth Proportional to 512,145.45, 768,218.18 and 512,145.45

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Solution

The fourth proportional to 512,145.45, 768,218.18 and 512,145.45 is: 768,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,145.45 : 768,218.18 = 512,145.45 : x
  2. Step 2: Convert to fraction form
    512,145.45/768,218.18 = 512,145.45/x
  3. Step 3: Cross multiply
    512,145.45x = 768,218.18 × 512,145.45
  4. Step 4: Simplify right side
    512,145.45x = 393,439,442,933.55
  5. Step 5: Solve for x
    x = 393,439,442,933.55/512,145.45
  6. Step 6: Final answer
    x = 768,218.18

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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.