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Finding the Fourth Proportional to 512,018.28, 768,692.70 and 393,773.40

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Solution

The fourth proportional to 512,018.28, 768,692.70 and 393,773.40 is: 591,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,018.28 : 768,692.70 = 393,773.40 : x
  2. Step 2: Convert to fraction form
    512,018.28/768,692.70 = 393,773.40/x
  3. Step 3: Cross multiply
    512,018.28x = 768,692.70 × 393,773.40
  4. Step 4: Simplify right side
    512,018.28x = 302,690,738,034.18
  5. Step 5: Solve for x
    x = 302,690,738,034.18/512,018.28
  6. Step 6: Final answer
    x = 591,171.74

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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.