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Finding the Fourth Proportional to 515,759.96, 773,649.44 and 178,811.57

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Solution

The fourth proportional to 515,759.96, 773,649.44 and 178,811.57 is: 268,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,759.96 : 773,649.44 = 178,811.57 : x
  2. Step 2: Convert to fraction form
    515,759.96/773,649.44 = 178,811.57/x
  3. Step 3: Cross multiply
    515,759.96x = 773,649.44 × 178,811.57
  4. Step 4: Simplify right side
    515,759.96x = 138,337,466,233.72
  5. Step 5: Solve for x
    x = 138,337,466,233.72/515,759.96
  6. Step 6: Final answer
    x = 268,220.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.