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Finding the Fourth Proportional to 342,884.39, 514,077.40 and 143,261.86

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Solution

The fourth proportional to 342,884.39, 514,077.40 and 143,261.86 is: 214,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,884.39 : 514,077.40 = 143,261.86 : x
  2. Step 2: Convert to fraction form
    342,884.39/514,077.40 = 143,261.86/x
  3. Step 3: Cross multiply
    342,884.39x = 514,077.40 × 143,261.86
  4. Step 4: Simplify right side
    342,884.39x = 73,647,682,864.62
  5. Step 5: Solve for x
    x = 73,647,682,864.62/342,884.39
  6. Step 6: Final answer
    x = 214,788.68

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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.