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Finding the Fourth Proportional to 510,781.21, 704,882.82 and 281,339.33

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Solution

The fourth proportional to 510,781.21, 704,882.82 and 281,339.33 is: 388,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,781.21 : 704,882.82 = 281,339.33 : x
  2. Step 2: Convert to fraction form
    510,781.21/704,882.82 = 281,339.33/x
  3. Step 3: Cross multiply
    510,781.21x = 704,882.82 × 281,339.33
  4. Step 4: Simplify right side
    510,781.21x = 198,311,259,426.21
  5. Step 5: Solve for x
    x = 198,311,259,426.21/510,781.21
  6. Step 6: Final answer
    x = 388,250.89

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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.