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Finding the Fourth Proportional to 219,406.50, 329,109.75 and 53,194.50

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Solution

The fourth proportional to 219,406.50, 329,109.75 and 53,194.50 is: 79,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,406.50 : 329,109.75 = 53,194.50 : x
  2. Step 2: Convert to fraction form
    219,406.50/329,109.75 = 53,194.50/x
  3. Step 3: Cross multiply
    219,406.50x = 329,109.75 × 53,194.50
  4. Step 4: Simplify right side
    219,406.50x = 17,506,828,596.38
  5. Step 5: Solve for x
    x = 17,506,828,596.38/219,406.50
  6. Step 6: Final answer
    x = 79,791.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.