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Finding the Fourth Proportional to 378,764.88, 568,112.76 and 349,066.32

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Solution

The fourth proportional to 378,764.88, 568,112.76 and 349,066.32 is: 523,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,764.88 : 568,112.76 = 349,066.32 : x
  2. Step 2: Convert to fraction form
    378,764.88/568,112.76 = 349,066.32/x
  3. Step 3: Cross multiply
    378,764.88x = 568,112.76 × 349,066.32
  4. Step 4: Simplify right side
    378,764.88x = 198,309,030,478.24
  5. Step 5: Solve for x
    x = 198,309,030,478.24/378,764.88
  6. Step 6: Final answer
    x = 523,567.63

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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.