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Finding the Fourth Proportional to 302,179.53, 416,978.79 and 166,211.31

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Solution

The fourth proportional to 302,179.53, 416,978.79 and 166,211.31 is: 229,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,179.53 : 416,978.79 = 166,211.31 : x
  2. Step 2: Convert to fraction form
    302,179.53/416,978.79 = 166,211.31/x
  3. Step 3: Cross multiply
    302,179.53x = 416,978.79 × 166,211.31
  4. Step 4: Simplify right side
    302,179.53x = 69,306,590,928.11
  5. Step 5: Solve for x
    x = 69,306,590,928.11/302,179.53
  6. Step 6: Final answer
    x = 229,355.68

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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.