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Finding the Fourth Proportional to 224,208, 309,428.91 and 123,606

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Solution

The fourth proportional to 224,208, 309,428.91 and 123,606 is: 170,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,208 : 309,428.91 = 123,606 : x
  2. Step 2: Convert to fraction form
    224,208/309,428.91 = 123,606/x
  3. Step 3: Cross multiply
    224,208x = 309,428.91 × 123,606
  4. Step 4: Simplify right side
    224,208x = 38,247,269,849.46
  5. Step 5: Solve for x
    x = 38,247,269,849.46/224,208
  6. Step 6: Final answer
    x = 170,588.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.