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Finding the Fourth Proportional to 512,403.52, 707,067.12 and 351,396.64

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Solution

The fourth proportional to 512,403.52, 707,067.12 and 351,396.64 is: 484,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,403.52 : 707,067.12 = 351,396.64 : x
  2. Step 2: Convert to fraction form
    512,403.52/707,067.12 = 351,396.64/x
  3. Step 3: Cross multiply
    512,403.52x = 707,067.12 × 351,396.64
  4. Step 4: Simplify right side
    512,403.52x = 248,461,010,222.48
  5. Step 5: Solve for x
    x = 248,461,010,222.48/512,403.52
  6. Step 6: Final answer
    x = 484,893.25

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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.