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Finding the Fourth Proportional to 302,313.78, 417,193.41 and 168,177.78

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Solution

The fourth proportional to 302,313.78, 417,193.41 and 168,177.78 is: 232,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,313.78 : 417,193.41 = 168,177.78 : x
  2. Step 2: Convert to fraction form
    302,313.78/417,193.41 = 168,177.78/x
  3. Step 3: Cross multiply
    302,313.78x = 417,193.41 × 168,177.78
  4. Step 4: Simplify right side
    302,313.78x = 70,162,661,524.43
  5. Step 5: Solve for x
    x = 70,162,661,524.43/302,313.78
  6. Step 6: Final answer
    x = 232,085.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.