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Finding the Fourth Proportional to 508,530.66, 762,771.22 and 188,744.78

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Solution

The fourth proportional to 508,530.66, 762,771.22 and 188,744.78 is: 283,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,530.66 : 762,771.22 = 188,744.78 : x
  2. Step 2: Convert to fraction form
    508,530.66/762,771.22 = 188,744.78/x
  3. Step 3: Cross multiply
    508,530.66x = 762,771.22 × 188,744.78
  4. Step 4: Simplify right side
    508,530.66x = 143,969,086,109.23
  5. Step 5: Solve for x
    x = 143,969,086,109.23/508,530.66
  6. Step 6: Final answer
    x = 283,107.98

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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.