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Finding the Fourth Proportional to 512,872.23, 707,790.77 and 308,987.34

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Solution

The fourth proportional to 512,872.23, 707,790.77 and 308,987.34 is: 426,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,872.23 : 707,790.77 = 308,987.34 : x
  2. Step 2: Convert to fraction form
    512,872.23/707,790.77 = 308,987.34/x
  3. Step 3: Cross multiply
    512,872.23x = 707,790.77 × 308,987.34
  4. Step 4: Simplify right side
    512,872.23x = 218,698,387,298.85
  5. Step 5: Solve for x
    x = 218,698,387,298.85/512,872.23
  6. Step 6: Final answer
    x = 426,418.85

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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.