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Finding the Fourth Proportional to 257,697.36, 386,582.49 and 80,222.31

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Solution

The fourth proportional to 257,697.36, 386,582.49 and 80,222.31 is: 120,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,697.36 : 386,582.49 = 80,222.31 : x
  2. Step 2: Convert to fraction form
    257,697.36/386,582.49 = 80,222.31/x
  3. Step 3: Cross multiply
    257,697.36x = 386,582.49 × 80,222.31
  4. Step 4: Simplify right side
    257,697.36x = 31,012,540,353.35
  5. Step 5: Solve for x
    x = 31,012,540,353.35/257,697.36
  6. Step 6: Final answer
    x = 120,344.81

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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.