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Finding the Fourth Proportional to 512,873.46, 768,622.51 and 399,158.57

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Solution

The fourth proportional to 512,873.46, 768,622.51 and 399,158.57 is: 598,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,873.46 : 768,622.51 = 399,158.57 : x
  2. Step 2: Convert to fraction form
    512,873.46/768,622.51 = 399,158.57/x
  3. Step 3: Cross multiply
    512,873.46x = 768,622.51 × 399,158.57
  4. Step 4: Simplify right side
    512,873.46x = 306,802,264,381.92
  5. Step 5: Solve for x
    x = 306,802,264,381.92/512,873.46
  6. Step 6: Final answer
    x = 598,202.65

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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.