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Finding the Fourth Proportional to 219,213.23, 328,829.42 and 69,464.56

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Solution

The fourth proportional to 219,213.23, 328,829.42 and 69,464.56 is: 104,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,213.23 : 328,829.42 = 69,464.56 : x
  2. Step 2: Convert to fraction form
    219,213.23/328,829.42 = 69,464.56/x
  3. Step 3: Cross multiply
    219,213.23x = 328,829.42 × 69,464.56
  4. Step 4: Simplify right side
    219,213.23x = 22,841,990,975.36
  5. Step 5: Solve for x
    x = 22,841,990,975.36/219,213.23
  6. Step 6: Final answer
    x = 104,199.87

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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.