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Finding the Fourth Proportional to 342,945.82, 514,309.67 and 320,556.70

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Solution

The fourth proportional to 342,945.82, 514,309.67 and 320,556.70 is: 480,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,945.82 : 514,309.67 = 320,556.70 : x
  2. Step 2: Convert to fraction form
    342,945.82/514,309.67 = 320,556.70/x
  3. Step 3: Cross multiply
    342,945.82x = 514,309.67 × 320,556.70
  4. Step 4: Simplify right side
    342,945.82x = 164,865,410,593.29
  5. Step 5: Solve for x
    x = 164,865,410,593.29/342,945.82
  6. Step 6: Final answer
    x = 480,733.11

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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.