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Finding the Fourth Proportional to 302,030.70, 454,030.20 and 213,894.60

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Solution

The fourth proportional to 302,030.70, 454,030.20 and 213,894.60 is: 321,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,030.70 : 454,030.20 = 213,894.60 : x
  2. Step 2: Convert to fraction form
    302,030.70/454,030.20 = 213,894.60/x
  3. Step 3: Cross multiply
    302,030.70x = 454,030.20 × 213,894.60
  4. Step 4: Simplify right side
    302,030.70x = 97,114,608,016.92
  5. Step 5: Solve for x
    x = 97,114,608,016.92/302,030.70
  6. Step 6: Final answer
    x = 321,538.86

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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.