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Finding the Fourth Proportional to 512,212.80, 768,319.20 and 335,265.60

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Solution

The fourth proportional to 512,212.80, 768,319.20 and 335,265.60 is: 502,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,212.80 : 768,319.20 = 335,265.60 : x
  2. Step 2: Convert to fraction form
    512,212.80/768,319.20 = 335,265.60/x
  3. Step 3: Cross multiply
    512,212.80x = 768,319.20 × 335,265.60
  4. Step 4: Simplify right side
    512,212.80x = 257,590,997,579.52
  5. Step 5: Solve for x
    x = 257,590,997,579.52/512,212.80
  6. Step 6: Final answer
    x = 502,898.40

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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.