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Finding the Fourth Proportional to 512,969.66, 769,467.64 and 243,034.60

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Solution

The fourth proportional to 512,969.66, 769,467.64 and 243,034.60 is: 364,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,969.66 : 769,467.64 = 243,034.60 : x
  2. Step 2: Convert to fraction form
    512,969.66/769,467.64 = 243,034.60/x
  3. Step 3: Cross multiply
    512,969.66x = 769,467.64 × 243,034.60
  4. Step 4: Simplify right side
    512,969.66x = 187,007,260,100.34
  5. Step 5: Solve for x
    x = 187,007,260,100.34/512,969.66
  6. Step 6: Final answer
    x = 364,558.13

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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.