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Finding the Fourth Proportional to 508,057.56, 762,086.52 and 188,319.36

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Solution

The fourth proportional to 508,057.56, 762,086.52 and 188,319.36 is: 282,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,057.56 : 762,086.52 = 188,319.36 : x
  2. Step 2: Convert to fraction form
    508,057.56/762,086.52 = 188,319.36/x
  3. Step 3: Cross multiply
    508,057.56x = 762,086.52 × 188,319.36
  4. Step 4: Simplify right side
    508,057.56x = 143,515,645,711.03
  5. Step 5: Solve for x
    x = 143,515,645,711.03/508,057.56
  6. Step 6: Final answer
    x = 282,479.11

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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.