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Finding the Fourth Proportional to 512,955.75, 707,915.57 and 283,508.10

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Solution

The fourth proportional to 512,955.75, 707,915.57 and 283,508.10 is: 391,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,955.75 : 707,915.57 = 283,508.10 : x
  2. Step 2: Convert to fraction form
    512,955.75/707,915.57 = 283,508.10/x
  3. Step 3: Cross multiply
    512,955.75x = 707,915.57 × 283,508.10
  4. Step 4: Simplify right side
    512,955.75x = 200,699,796,793.58
  5. Step 5: Solve for x
    x = 200,699,796,793.58/512,955.75
  6. Step 6: Final answer
    x = 391,261.42

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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.