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Finding the Fourth Proportional to 515,107.86, 710,871.82 and 285,649.78

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Solution

The fourth proportional to 515,107.86, 710,871.82 and 285,649.78 is: 394,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,107.86 : 710,871.82 = 285,649.78 : x
  2. Step 2: Convert to fraction form
    515,107.86/710,871.82 = 285,649.78/x
  3. Step 3: Cross multiply
    515,107.86x = 710,871.82 × 285,649.78
  4. Step 4: Simplify right side
    515,107.86x = 203,060,378,991.20
  5. Step 5: Solve for x
    x = 203,060,378,991.20/515,107.86
  6. Step 6: Final answer
    x = 394,209.44

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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.