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Finding the Fourth Proportional to 512,857.86, 769,458.06 and 323,099.16

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Solution

The fourth proportional to 512,857.86, 769,458.06 and 323,099.16 is: 484,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,857.86 : 769,458.06 = 323,099.16 : x
  2. Step 2: Convert to fraction form
    512,857.86/769,458.06 = 323,099.16/x
  3. Step 3: Cross multiply
    512,857.86x = 769,458.06 × 323,099.16
  4. Step 4: Simplify right side
    512,857.86x = 248,611,252,841.23
  5. Step 5: Solve for x
    x = 248,611,252,841.23/512,857.86
  6. Step 6: Final answer
    x = 484,756.64

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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.