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Finding the Fourth Proportional to 512,600.26, 707,373.90 and 283,153.24

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Solution

The fourth proportional to 512,600.26, 707,373.90 and 283,153.24 is: 390,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,600.26 : 707,373.90 = 283,153.24 : x
  2. Step 2: Convert to fraction form
    512,600.26/707,373.90 = 283,153.24/x
  3. Step 3: Cross multiply
    512,600.26x = 707,373.90 × 283,153.24
  4. Step 4: Simplify right side
    512,600.26x = 200,295,211,676.44
  5. Step 5: Solve for x
    x = 200,295,211,676.44/512,600.26
  6. Step 6: Final answer
    x = 390,743.48

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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.