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Finding the Fourth Proportional to 512,414.44, 707,131.97 and 286,059.94

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Solution

The fourth proportional to 512,414.44, 707,131.97 and 286,059.94 is: 394,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,414.44 : 707,131.97 = 286,059.94 : x
  2. Step 2: Convert to fraction form
    512,414.44/707,131.97 = 286,059.94/x
  3. Step 3: Cross multiply
    512,414.44x = 707,131.97 × 286,059.94
  4. Step 4: Simplify right side
    512,414.44x = 202,282,128,393.96
  5. Step 5: Solve for x
    x = 202,282,128,393.96/512,414.44
  6. Step 6: Final answer
    x = 394,762.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.