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Finding the Fourth Proportional to 342,906.56, 514,110.60 and 143,284.08

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Solution

The fourth proportional to 342,906.56, 514,110.60 and 143,284.08 is: 214,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,906.56 : 514,110.60 = 143,284.08 : x
  2. Step 2: Convert to fraction form
    342,906.56/514,110.60 = 143,284.08/x
  3. Step 3: Cross multiply
    342,906.56x = 514,110.60 × 143,284.08
  4. Step 4: Simplify right side
    342,906.56x = 73,663,864,339.25
  5. Step 5: Solve for x
    x = 73,663,864,339.25/342,906.56
  6. Step 6: Final answer
    x = 214,821.97

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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.