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Finding the Fourth Proportional to 510,696, 704,773.44 and 284,336.64

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Solution

The fourth proportional to 510,696, 704,773.44 and 284,336.64 is: 392,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,696 : 704,773.44 = 284,336.64 : x
  2. Step 2: Convert to fraction form
    510,696/704,773.44 = 284,336.64/x
  3. Step 3: Cross multiply
    510,696x = 704,773.44 × 284,336.64
  4. Step 4: Simplify right side
    510,696x = 200,392,911,890.84
  5. Step 5: Solve for x
    x = 200,392,911,890.84/510,696
  6. Step 6: Final answer
    x = 392,391.78

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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.