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Finding the Fourth Proportional to 512,699.88, 768,550.01 and 204,860.12

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Solution

The fourth proportional to 512,699.88, 768,550.01 and 204,860.12 is: 307,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,699.88 : 768,550.01 = 204,860.12 : x
  2. Step 2: Convert to fraction form
    512,699.88/768,550.01 = 204,860.12/x
  3. Step 3: Cross multiply
    512,699.88x = 768,550.01 × 204,860.12
  4. Step 4: Simplify right side
    512,699.88x = 157,445,242,407.55
  5. Step 5: Solve for x
    x = 157,445,242,407.55/512,699.88
  6. Step 6: Final answer
    x = 307,090.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.