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Finding the Fourth Proportional to 513,915.88, 709,195.31 and 284,468.24

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Solution

The fourth proportional to 513,915.88, 709,195.31 and 284,468.24 is: 392,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,915.88 : 709,195.31 = 284,468.24 : x
  2. Step 2: Convert to fraction form
    513,915.88/709,195.31 = 284,468.24/x
  3. Step 3: Cross multiply
    513,915.88x = 709,195.31 × 284,468.24
  4. Step 4: Simplify right side
    513,915.88x = 201,743,541,651.95
  5. Step 5: Solve for x
    x = 201,743,541,651.95/513,915.88
  6. Step 6: Final answer
    x = 392,561.41

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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.