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Finding the Fourth Proportional to 302,078.70, 454,102.20 and 213,942.60

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Solution

The fourth proportional to 302,078.70, 454,102.20 and 213,942.60 is: 321,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,078.70 : 454,102.20 = 213,942.60 : x
  2. Step 2: Convert to fraction form
    302,078.70/454,102.20 = 213,942.60/x
  3. Step 3: Cross multiply
    302,078.70x = 454,102.20 × 213,942.60
  4. Step 4: Simplify right side
    302,078.70x = 97,151,805,333.72
  5. Step 5: Solve for x
    x = 97,151,805,333.72/302,078.70
  6. Step 6: Final answer
    x = 321,610.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.