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Finding the Fourth Proportional to 219,457.46, 329,136.87 and 130,736.18

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Solution

The fourth proportional to 219,457.46, 329,136.87 and 130,736.18 is: 196,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,457.46 : 329,136.87 = 130,736.18 : x
  2. Step 2: Convert to fraction form
    219,457.46/329,136.87 = 130,736.18/x
  3. Step 3: Cross multiply
    219,457.46x = 329,136.87 × 130,736.18
  4. Step 4: Simplify right side
    219,457.46x = 43,030,098,394.06
  5. Step 5: Solve for x
    x = 43,030,098,394.06/219,457.46
  6. Step 6: Final answer
    x = 196,074.89

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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.