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Finding the Fourth Proportional to 513,916.88, 709,196.69 and 284,469.24

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Solution

The fourth proportional to 513,916.88, 709,196.69 and 284,469.24 is: 392,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,916.88 : 709,196.69 = 284,469.24 : x
  2. Step 2: Convert to fraction form
    513,916.88/709,196.69 = 284,469.24/x
  3. Step 3: Cross multiply
    513,916.88x = 709,196.69 × 284,469.24
  4. Step 4: Simplify right side
    513,916.88x = 201,744,643,414.82
  5. Step 5: Solve for x
    x = 201,744,643,414.82/513,916.88
  6. Step 6: Final answer
    x = 392,562.79

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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.