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Finding the Fourth Proportional to 219,024.30, 328,568.81 and 69,230.60

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Solution

The fourth proportional to 219,024.30, 328,568.81 and 69,230.60 is: 103,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,024.30 : 328,568.81 = 69,230.60 : x
  2. Step 2: Convert to fraction form
    219,024.30/328,568.81 = 69,230.60/x
  3. Step 3: Cross multiply
    219,024.30x = 328,568.81 × 69,230.60
  4. Step 4: Simplify right side
    219,024.30x = 22,747,015,100.72
  5. Step 5: Solve for x
    x = 22,747,015,100.72/219,024.30
  6. Step 6: Final answer
    x = 103,856.12

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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.