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Finding the Fourth Proportional to 510,910.86, 705,057.12 and 296,175.90

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Solution

The fourth proportional to 510,910.86, 705,057.12 and 296,175.90 is: 408,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,910.86 : 705,057.12 = 296,175.90 : x
  2. Step 2: Convert to fraction form
    510,910.86/705,057.12 = 296,175.90/x
  3. Step 3: Cross multiply
    510,910.86x = 705,057.12 × 296,175.90
  4. Step 4: Simplify right side
    510,910.86x = 208,820,927,067.41
  5. Step 5: Solve for x
    x = 208,820,927,067.41/510,910.86
  6. Step 6: Final answer
    x = 408,722.82

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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.