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Finding the Fourth Proportional to 302,992.56, 418,885.56 and 227,409.84

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Solution

The fourth proportional to 302,992.56, 418,885.56 and 227,409.84 is: 314,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,992.56 : 418,885.56 = 227,409.84 : x
  2. Step 2: Convert to fraction form
    302,992.56/418,885.56 = 227,409.84/x
  3. Step 3: Cross multiply
    302,992.56x = 418,885.56 × 227,409.84
  4. Step 4: Simplify right side
    302,992.56x = 95,258,698,177.91
  5. Step 5: Solve for x
    x = 95,258,698,177.91/302,992.56
  6. Step 6: Final answer
    x = 314,392.86

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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.