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Finding the Fourth Proportional to 512,369.60, 707,040.72 and 286,029.44

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Solution

The fourth proportional to 512,369.60, 707,040.72 and 286,029.44 is: 394,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,369.60 : 707,040.72 = 286,029.44 : x
  2. Step 2: Convert to fraction form
    512,369.60/707,040.72 = 286,029.44/x
  3. Step 3: Cross multiply
    512,369.60x = 707,040.72 × 286,029.44
  4. Step 4: Simplify right side
    512,369.60x = 202,234,461,198.80
  5. Step 5: Solve for x
    x = 202,234,461,198.80/512,369.60
  6. Step 6: Final answer
    x = 394,704.25

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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.