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Finding the Fourth Proportional to 342,212.80, 513,319.20 and 200,495.20

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Solution

The fourth proportional to 342,212.80, 513,319.20 and 200,495.20 is: 300,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,212.80 : 513,319.20 = 200,495.20 : x
  2. Step 2: Convert to fraction form
    342,212.80/513,319.20 = 200,495.20/x
  3. Step 3: Cross multiply
    342,212.80x = 513,319.20 × 200,495.20
  4. Step 4: Simplify right side
    342,212.80x = 102,918,035,667.84
  5. Step 5: Solve for x
    x = 102,918,035,667.84/342,212.80
  6. Step 6: Final answer
    x = 300,742.80

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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.