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Finding the Fourth Proportional to 306,225.40, 422,569.11 and 168,414.03

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Solution

The fourth proportional to 306,225.40, 422,569.11 and 168,414.03 is: 232,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,225.40 : 422,569.11 = 168,414.03 : x
  2. Step 2: Convert to fraction form
    306,225.40/422,569.11 = 168,414.03/x
  3. Step 3: Cross multiply
    306,225.40x = 422,569.11 × 168,414.03
  4. Step 4: Simplify right side
    306,225.40x = 71,166,563,813.70
  5. Step 5: Solve for x
    x = 71,166,563,813.70/306,225.40
  6. Step 6: Final answer
    x = 232,399.29

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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.