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Finding the Fourth Proportional to 255,370.95, 352,408.62 and 140,647.41

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Solution

The fourth proportional to 255,370.95, 352,408.62 and 140,647.41 is: 194,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,370.95 : 352,408.62 = 140,647.41 : x
  2. Step 2: Convert to fraction form
    255,370.95/352,408.62 = 140,647.41/x
  3. Step 3: Cross multiply
    255,370.95x = 352,408.62 × 140,647.41
  4. Step 4: Simplify right side
    255,370.95x = 49,565,359,664.67
  5. Step 5: Solve for x
    x = 49,565,359,664.67/255,370.95
  6. Step 6: Final answer
    x = 194,091.61

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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.