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Finding the Fourth Proportional to 239,969.80, 359,436.30 and 198,497.80

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Solution

The fourth proportional to 239,969.80, 359,436.30 and 198,497.80 is: 297,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,969.80 : 359,436.30 = 198,497.80 : x
  2. Step 2: Convert to fraction form
    239,969.80/359,436.30 = 198,497.80/x
  3. Step 3: Cross multiply
    239,969.80x = 359,436.30 × 198,497.80
  4. Step 4: Simplify right side
    239,969.80x = 71,347,314,790.14
  5. Step 5: Solve for x
    x = 71,347,314,790.14/239,969.80
  6. Step 6: Final answer
    x = 297,317.89

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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.