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Finding the Fourth Proportional to 508,203, 762,320.30 and 188,434.44

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Solution

The fourth proportional to 508,203, 762,320.30 and 188,434.44 is: 282,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,203 : 762,320.30 = 188,434.44 : x
  2. Step 2: Convert to fraction form
    508,203/762,320.30 = 188,434.44/x
  3. Step 3: Cross multiply
    508,203x = 762,320.30 × 188,434.44
  4. Step 4: Simplify right side
    508,203x = 143,647,397,888.96
  5. Step 5: Solve for x
    x = 143,647,397,888.96/508,203
  6. Step 6: Final answer
    x = 282,657.52

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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.