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Finding the Fourth Proportional to 219,718.80, 329,059.80 and 149,216.40

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Solution

The fourth proportional to 219,718.80, 329,059.80 and 149,216.40 is: 223,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,718.80 : 329,059.80 = 149,216.40 : x
  2. Step 2: Convert to fraction form
    219,718.80/329,059.80 = 149,216.40/x
  3. Step 3: Cross multiply
    219,718.80x = 329,059.80 × 149,216.40
  4. Step 4: Simplify right side
    219,718.80x = 49,101,118,740.72
  5. Step 5: Solve for x
    x = 49,101,118,740.72/219,718.80
  6. Step 6: Final answer
    x = 223,472.54

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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.