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Finding the Fourth Proportional to 508,436.22, 762,183.54 and 188,409.90

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Solution

The fourth proportional to 508,436.22, 762,183.54 and 188,409.90 is: 282,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,436.22 : 762,183.54 = 188,409.90 : x
  2. Step 2: Convert to fraction form
    508,436.22/762,183.54 = 188,409.90/x
  3. Step 3: Cross multiply
    508,436.22x = 762,183.54 × 188,409.90
  4. Step 4: Simplify right side
    508,436.22x = 143,602,924,553.05
  5. Step 5: Solve for x
    x = 143,602,924,553.05/508,436.22
  6. Step 6: Final answer
    x = 282,440.39

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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.