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Finding the Fourth Proportional to 302,859.30, 417,940.20 and 166,905.84

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Solution

The fourth proportional to 302,859.30, 417,940.20 and 166,905.84 is: 230,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859.30 : 417,940.20 = 166,905.84 : x
  2. Step 2: Convert to fraction form
    302,859.30/417,940.20 = 166,905.84/x
  3. Step 3: Cross multiply
    302,859.30x = 417,940.20 × 166,905.84
  4. Step 4: Simplify right side
    302,859.30x = 69,756,660,150.77
  5. Step 5: Solve for x
    x = 69,756,660,150.77/302,859.30
  6. Step 6: Final answer
    x = 230,326.95

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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.