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Finding the Fourth Proportional to 510,859.88, 705,008.51 and 284,505.38

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Solution

The fourth proportional to 510,859.88, 705,008.51 and 284,505.38 is: 392,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,859.88 : 705,008.51 = 284,505.38 : x
  2. Step 2: Convert to fraction form
    510,859.88/705,008.51 = 284,505.38/x
  3. Step 3: Cross multiply
    510,859.88x = 705,008.51 × 284,505.38
  4. Step 4: Simplify right side
    510,859.88x = 200,578,709,093.21
  5. Step 5: Solve for x
    x = 200,578,709,093.21/510,859.88
  6. Step 6: Final answer
    x = 392,629.60

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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.