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Finding the Fourth Proportional to 512,601.51, 707,375.63 and 283,154.49

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Solution

The fourth proportional to 512,601.51, 707,375.63 and 283,154.49 is: 390,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,601.51 : 707,375.63 = 283,154.49 : x
  2. Step 2: Convert to fraction form
    512,601.51/707,375.63 = 283,154.49/x
  3. Step 3: Cross multiply
    512,601.51x = 707,375.63 × 283,154.49
  4. Step 4: Simplify right side
    512,601.51x = 200,296,584,335.31
  5. Step 5: Solve for x
    x = 200,296,584,335.31/512,601.51
  6. Step 6: Final answer
    x = 390,745.21

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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.