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Finding the Fourth Proportional to 219,206.44, 328,819.22 and 69,457.76

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Solution

The fourth proportional to 219,206.44, 328,819.22 and 69,457.76 is: 104,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,206.44 : 328,819.22 = 69,457.76 : x
  2. Step 2: Convert to fraction form
    219,206.44/328,819.22 = 69,457.76/x
  3. Step 3: Cross multiply
    219,206.44x = 328,819.22 × 69,457.76
  4. Step 4: Simplify right side
    219,206.44x = 22,839,048,208.61
  5. Step 5: Solve for x
    x = 22,839,048,208.61/219,206.44
  6. Step 6: Final answer
    x = 104,189.68

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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.