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Finding the Fourth Proportional to 219,980.50, 303,573.28 and 119,378.50

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Solution

The fourth proportional to 219,980.50, 303,573.28 and 119,378.50 is: 164,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,980.50 : 303,573.28 = 119,378.50 : x
  2. Step 2: Convert to fraction form
    219,980.50/303,573.28 = 119,378.50/x
  3. Step 3: Cross multiply
    219,980.50x = 303,573.28 × 119,378.50
  4. Step 4: Simplify right side
    219,980.50x = 36,240,122,806.48
  5. Step 5: Solve for x
    x = 36,240,122,806.48/219,980.50
  6. Step 6: Final answer
    x = 164,742.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.