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Finding the Fourth Proportional to 228,285.36, 342,021.72 and 194,664.33

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Solution

The fourth proportional to 228,285.36, 342,021.72 and 194,664.33 is: 291,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,285.36 : 342,021.72 = 194,664.33 : x
  2. Step 2: Convert to fraction form
    228,285.36/342,021.72 = 194,664.33/x
  3. Step 3: Cross multiply
    228,285.36x = 342,021.72 × 194,664.33
  4. Step 4: Simplify right side
    228,285.36x = 66,579,428,969.25
  5. Step 5: Solve for x
    x = 66,579,428,969.25/228,285.36
  6. Step 6: Final answer
    x = 291,650.02

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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.