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Finding the Fourth Proportional to 512,077.60, 768,748.20 and 322,537.60

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Solution

The fourth proportional to 512,077.60, 768,748.20 and 322,537.60 is: 484,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,077.60 : 768,748.20 = 322,537.60 : x
  2. Step 2: Convert to fraction form
    512,077.60/768,748.20 = 322,537.60/x
  3. Step 3: Cross multiply
    512,077.60x = 768,748.20 × 322,537.60
  4. Step 4: Simplify right side
    512,077.60x = 247,950,199,432.32
  5. Step 5: Solve for x
    x = 247,950,199,432.32/512,077.60
  6. Step 6: Final answer
    x = 484,204.35

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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.