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Finding the Fourth Proportional to 223,409.80, 308,202.76 and 197,942.16

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Solution

The fourth proportional to 223,409.80, 308,202.76 and 197,942.16 is: 273,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,409.80 : 308,202.76 = 197,942.16 : x
  2. Step 2: Convert to fraction form
    223,409.80/308,202.76 = 197,942.16/x
  3. Step 3: Cross multiply
    223,409.80x = 308,202.76 × 197,942.16
  4. Step 4: Simplify right side
    223,409.80x = 61,006,320,032.36
  5. Step 5: Solve for x
    x = 61,006,320,032.36/223,409.80
  6. Step 6: Final answer
    x = 273,069.13

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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.