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Finding the Fourth Proportional to 302,946.73, 418,069.41 and 166,986

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Solution

The fourth proportional to 302,946.73, 418,069.41 and 166,986 is: 230,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,946.73 : 418,069.41 = 166,986 : x
  2. Step 2: Convert to fraction form
    302,946.73/418,069.41 = 166,986/x
  3. Step 3: Cross multiply
    302,946.73x = 418,069.41 × 166,986
  4. Step 4: Simplify right side
    302,946.73x = 69,811,738,498.26
  5. Step 5: Solve for x
    x = 69,811,738,498.26/302,946.73
  6. Step 6: Final answer
    x = 230,442.29

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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.