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Finding the Fourth Proportional to 229,434.30, 343,815.30 and 205,741.80

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Solution

The fourth proportional to 229,434.30, 343,815.30 and 205,741.80 is: 308,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,434.30 : 343,815.30 = 205,741.80 : x
  2. Step 2: Convert to fraction form
    229,434.30/343,815.30 = 205,741.80/x
  3. Step 3: Cross multiply
    229,434.30x = 343,815.30 × 205,741.80
  4. Step 4: Simplify right side
    229,434.30x = 70,737,178,689.54
  5. Step 5: Solve for x
    x = 70,737,178,689.54/229,434.30
  6. Step 6: Final answer
    x = 308,311.26

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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.