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Finding the Fourth Proportional to 512,777.80, 707,619.54 and 280,195.48

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Solution

The fourth proportional to 512,777.80, 707,619.54 and 280,195.48 is: 386,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,777.80 : 707,619.54 = 280,195.48 : x
  2. Step 2: Convert to fraction form
    512,777.80/707,619.54 = 280,195.48/x
  3. Step 3: Cross multiply
    512,777.80x = 707,619.54 × 280,195.48
  4. Step 4: Simplify right side
    512,777.80x = 198,271,796,667.68
  5. Step 5: Solve for x
    x = 198,271,796,667.68/512,777.80
  6. Step 6: Final answer
    x = 386,662.21

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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.