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Finding the Fourth Proportional to 229,916.40, 344,874.60 and 205,810.80

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Solution

The fourth proportional to 229,916.40, 344,874.60 and 205,810.80 is: 308,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,916.40 : 344,874.60 = 205,810.80 : x
  2. Step 2: Convert to fraction form
    229,916.40/344,874.60 = 205,810.80/x
  3. Step 3: Cross multiply
    229,916.40x = 344,874.60 × 205,810.80
  4. Step 4: Simplify right side
    229,916.40x = 70,978,917,325.68
  5. Step 5: Solve for x
    x = 70,978,917,325.68/229,916.40
  6. Step 6: Final answer
    x = 308,716.20

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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.