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Finding the Fourth Proportional to 213,993, 320,869.44 and 146,601.16

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Solution

The fourth proportional to 213,993, 320,869.44 and 146,601.16 is: 219,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993 : 320,869.44 = 146,601.16 : x
  2. Step 2: Convert to fraction form
    213,993/320,869.44 = 146,601.16/x
  3. Step 3: Cross multiply
    213,993x = 320,869.44 × 146,601.16
  4. Step 4: Simplify right side
    213,993x = 47,039,832,112.55
  5. Step 5: Solve for x
    x = 47,039,832,112.55/213,993
  6. Step 6: Final answer
    x = 219,819.49

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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.