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Finding the Fourth Proportional to 219,171, 302,457.60 and 134,344.56

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Solution

The fourth proportional to 219,171, 302,457.60 and 134,344.56 is: 185,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,171 : 302,457.60 = 134,344.56 : x
  2. Step 2: Convert to fraction form
    219,171/302,457.60 = 134,344.56/x
  3. Step 3: Cross multiply
    219,171x = 302,457.60 × 134,344.56
  4. Step 4: Simplify right side
    219,171x = 40,633,533,190.66
  5. Step 5: Solve for x
    x = 40,633,533,190.66/219,171
  6. Step 6: Final answer
    x = 185,396.49

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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.