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Finding the Fourth Proportional to 512,452.90, 769,007.40 and 299,220.40

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Solution

The fourth proportional to 512,452.90, 769,007.40 and 299,220.40 is: 449,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,452.90 : 769,007.40 = 299,220.40 : x
  2. Step 2: Convert to fraction form
    512,452.90/769,007.40 = 299,220.40/x
  3. Step 3: Cross multiply
    512,452.90x = 769,007.40 × 299,220.40
  4. Step 4: Simplify right side
    512,452.90x = 230,102,701,830.96
  5. Step 5: Solve for x
    x = 230,102,701,830.96/512,452.90
  6. Step 6: Final answer
    x = 449,022.15

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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.