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Finding the Fourth Proportional to 302,145.36, 416,970.72 and 166,185

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Solution

The fourth proportional to 302,145.36, 416,970.72 and 166,185 is: 229,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,145.36 : 416,970.72 = 166,185 : x
  2. Step 2: Convert to fraction form
    302,145.36/416,970.72 = 166,185/x
  3. Step 3: Cross multiply
    302,145.36x = 416,970.72 × 166,185
  4. Step 4: Simplify right side
    302,145.36x = 69,294,279,103.20
  5. Step 5: Solve for x
    x = 69,294,279,103.20/302,145.36
  6. Step 6: Final answer
    x = 229,340.87

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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.