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Finding the Fourth Proportional to 188,399.86, 283,856.40 and 170,408.88

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Solution

The fourth proportional to 188,399.86, 283,856.40 and 170,408.88 is: 256,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,399.86 : 283,856.40 = 170,408.88 : x
  2. Step 2: Convert to fraction form
    188,399.86/283,856.40 = 170,408.88/x
  3. Step 3: Cross multiply
    188,399.86x = 283,856.40 × 170,408.88
  4. Step 4: Simplify right side
    188,399.86x = 48,371,651,204.83
  5. Step 5: Solve for x
    x = 48,371,651,204.83/188,399.86
  6. Step 6: Final answer
    x = 256,749.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.