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Finding the Fourth Proportional to 454,748.96, 682,155.84 and 139,164.86

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Solution

The fourth proportional to 454,748.96, 682,155.84 and 139,164.86 is: 208,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,748.96 : 682,155.84 = 139,164.86 : x
  2. Step 2: Convert to fraction form
    454,748.96/682,155.84 = 139,164.86/x
  3. Step 3: Cross multiply
    454,748.96x = 682,155.84 × 139,164.86
  4. Step 4: Simplify right side
    454,748.96x = 94,932,121,971.78
  5. Step 5: Solve for x
    x = 94,932,121,971.78/454,748.96
  6. Step 6: Final answer
    x = 208,757.21

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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.