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Finding the Fourth Proportional to 302,144.30, 416,969.32 and 166,188.76

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Solution

The fourth proportional to 302,144.30, 416,969.32 and 166,188.76 is: 229,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,144.30 : 416,969.32 = 166,188.76 : x
  2. Step 2: Convert to fraction form
    302,144.30/416,969.32 = 166,188.76/x
  3. Step 3: Cross multiply
    302,144.30x = 416,969.32 × 166,188.76
  4. Step 4: Simplify right side
    302,144.30x = 69,295,615,448.00
  5. Step 5: Solve for x
    x = 69,295,615,448.00/302,144.30
  6. Step 6: Final answer
    x = 229,346.09

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1.5x scale

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.