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Finding the Fourth Proportional to 302,178, 417,014.80 and 166,204.96

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Solution

The fourth proportional to 302,178, 417,014.80 and 166,204.96 is: 229,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,178 : 417,014.80 = 166,204.96 : x
  2. Step 2: Convert to fraction form
    302,178/417,014.80 = 166,204.96/x
  3. Step 3: Cross multiply
    302,178x = 417,014.80 × 166,204.96
  4. Step 4: Simplify right side
    302,178x = 69,309,928,153.41
  5. Step 5: Solve for x
    x = 69,309,928,153.41/302,178
  6. Step 6: Final answer
    x = 229,367.88

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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.