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Finding the Fourth Proportional to 229,506.30, 343,923.30 and 205,813.80

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Solution

The fourth proportional to 229,506.30, 343,923.30 and 205,813.80 is: 308,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,506.30 : 343,923.30 = 205,813.80 : x
  2. Step 2: Convert to fraction form
    229,506.30/343,923.30 = 205,813.80/x
  3. Step 3: Cross multiply
    229,506.30x = 343,923.30 × 205,813.80
  4. Step 4: Simplify right side
    229,506.30x = 70,784,161,281.54
  5. Step 5: Solve for x
    x = 70,784,161,281.54/229,506.30
  6. Step 6: Final answer
    x = 308,419.25

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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.