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Finding the Fourth Proportional to 512,341.20, 768,511.80 and 394,243.20

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Solution

The fourth proportional to 512,341.20, 768,511.80 and 394,243.20 is: 591,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,341.20 : 768,511.80 = 394,243.20 : x
  2. Step 2: Convert to fraction form
    512,341.20/768,511.80 = 394,243.20/x
  3. Step 3: Cross multiply
    512,341.20x = 768,511.80 × 394,243.20
  4. Step 4: Simplify right side
    512,341.20x = 302,980,551,269.76
  5. Step 5: Solve for x
    x = 302,980,551,269.76/512,341.20
  6. Step 6: Final answer
    x = 591,364.80

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Similar ratio
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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.