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Finding the Fourth Proportional to 301,450.29, 415,986.12 and 178,947.90

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Solution

The fourth proportional to 301,450.29, 415,986.12 and 178,947.90 is: 246,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,450.29 : 415,986.12 = 178,947.90 : x
  2. Step 2: Convert to fraction form
    301,450.29/415,986.12 = 178,947.90/x
  3. Step 3: Cross multiply
    301,450.29x = 415,986.12 × 178,947.90
  4. Step 4: Simplify right side
    301,450.29x = 74,439,842,748.37
  5. Step 5: Solve for x
    x = 74,439,842,748.37/301,450.29
  6. Step 6: Final answer
    x = 246,939.04

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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.