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Finding the Fourth Proportional to 512,880.30, 707,788.95 and 283,452.45

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Solution

The fourth proportional to 512,880.30, 707,788.95 and 283,452.45 is: 391,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,880.30 : 707,788.95 = 283,452.45 : x
  2. Step 2: Convert to fraction form
    512,880.30/707,788.95 = 283,452.45/x
  3. Step 3: Cross multiply
    512,880.30x = 707,788.95 × 283,452.45
  4. Step 4: Simplify right side
    512,880.30x = 200,624,511,960.43
  5. Step 5: Solve for x
    x = 200,624,511,960.43/512,880.30
  6. Step 6: Final answer
    x = 391,172.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.