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Finding the Fourth Proportional to 510,346.38, 704,403 and 395,397.66

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Solution

The fourth proportional to 510,346.38, 704,403 and 395,397.66 is: 545,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,346.38 : 704,403 = 395,397.66 : x
  2. Step 2: Convert to fraction form
    510,346.38/704,403 = 395,397.66/x
  3. Step 3: Cross multiply
    510,346.38x = 704,403 × 395,397.66
  4. Step 4: Simplify right side
    510,346.38x = 278,519,297,896.98
  5. Step 5: Solve for x
    x = 278,519,297,896.98/510,346.38
  6. Step 6: Final answer
    x = 545,745.61

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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.