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Finding the Fourth Proportional to 219,254.44, 302,629.64 and 123,817

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Solution

The fourth proportional to 219,254.44, 302,629.64 and 123,817 is: 170,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,254.44 : 302,629.64 = 123,817 : x
  2. Step 2: Convert to fraction form
    219,254.44/302,629.64 = 123,817/x
  3. Step 3: Cross multiply
    219,254.44x = 302,629.64 × 123,817
  4. Step 4: Simplify right side
    219,254.44x = 37,470,694,135.88
  5. Step 5: Solve for x
    x = 37,470,694,135.88/219,254.44
  6. Step 6: Final answer
    x = 170,900.50

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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.