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Finding the Fourth Proportional to 342,426.48, 513,302.76 and 200,091.12

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Solution

The fourth proportional to 342,426.48, 513,302.76 and 200,091.12 is: 299,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,426.48 : 513,302.76 = 200,091.12 : x
  2. Step 2: Convert to fraction form
    342,426.48/513,302.76 = 200,091.12/x
  3. Step 3: Cross multiply
    342,426.48x = 513,302.76 × 200,091.12
  4. Step 4: Simplify right side
    342,426.48x = 102,707,324,147.49
  5. Step 5: Solve for x
    x = 102,707,324,147.49/342,426.48
  6. Step 6: Final answer
    x = 299,939.78

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1.5x scale

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.