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Finding the Fourth Proportional to 512,972.40, 768,292.20 and 324,015.60

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Solution

The fourth proportional to 512,972.40, 768,292.20 and 324,015.60 is: 485,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,972.40 : 768,292.20 = 324,015.60 : x
  2. Step 2: Convert to fraction form
    512,972.40/768,292.20 = 324,015.60/x
  3. Step 3: Cross multiply
    512,972.40x = 768,292.20 × 324,015.60
  4. Step 4: Simplify right side
    512,972.40x = 248,938,658,158.32
  5. Step 5: Solve for x
    x = 248,938,658,158.32/512,972.40
  6. Step 6: Final answer
    x = 485,286.65

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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.