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Finding the Fourth Proportional to 510,704.25, 704,776.77 and 284,354.61

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Solution

The fourth proportional to 510,704.25, 704,776.77 and 284,354.61 is: 392,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,704.25 : 704,776.77 = 284,354.61 : x
  2. Step 2: Convert to fraction form
    510,704.25/704,776.77 = 284,354.61/x
  3. Step 3: Cross multiply
    510,704.25x = 704,776.77 × 284,354.61
  4. Step 4: Simplify right side
    510,704.25x = 200,406,523,570.41
  5. Step 5: Solve for x
    x = 200,406,523,570.41/510,704.25
  6. Step 6: Final answer
    x = 392,412.09

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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.