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Finding the Fourth Proportional to 515,589.64, 773,199.91 and 178,539.81

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Solution

The fourth proportional to 515,589.64, 773,199.91 and 178,539.81 is: 267,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,589.64 : 773,199.91 = 178,539.81 : x
  2. Step 2: Convert to fraction form
    515,589.64/773,199.91 = 178,539.81/x
  3. Step 3: Cross multiply
    515,589.64x = 773,199.91 × 178,539.81
  4. Step 4: Simplify right side
    515,589.64x = 138,046,965,023.42
  5. Step 5: Solve for x
    x = 138,046,965,023.42/515,589.64
  6. Step 6: Final answer
    x = 267,745.81

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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.