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Finding the Fourth Proportional to 512,405.52, 707,069.88 and 351,398.64

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Solution

The fourth proportional to 512,405.52, 707,069.88 and 351,398.64 is: 484,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,405.52 : 707,069.88 = 351,398.64 : x
  2. Step 2: Convert to fraction form
    512,405.52/707,069.88 = 351,398.64/x
  3. Step 3: Cross multiply
    512,405.52x = 707,069.88 × 351,398.64
  4. Step 4: Simplify right side
    512,405.52x = 248,463,394,216.96
  5. Step 5: Solve for x
    x = 248,463,394,216.96/512,405.52
  6. Step 6: Final answer
    x = 484,896.01

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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.