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Finding the Fourth Proportional to 219,212.98, 328,829.04 and 69,464.31

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Solution

The fourth proportional to 219,212.98, 328,829.04 and 69,464.31 is: 104,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,212.98 : 328,829.04 = 69,464.31 : x
  2. Step 2: Convert to fraction form
    219,212.98/328,829.04 = 69,464.31/x
  3. Step 3: Cross multiply
    219,212.98x = 328,829.04 × 69,464.31
  4. Step 4: Simplify right side
    219,212.98x = 22,841,882,371.56
  5. Step 5: Solve for x
    x = 22,841,882,371.56/219,212.98
  6. Step 6: Final answer
    x = 104,199.50

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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.