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Finding the Fourth Proportional to 228,773.36, 315,725.12 and 147,174.48

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Solution

The fourth proportional to 228,773.36, 315,725.12 and 147,174.48 is: 203,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,773.36 : 315,725.12 = 147,174.48 : x
  2. Step 2: Convert to fraction form
    228,773.36/315,725.12 = 147,174.48/x
  3. Step 3: Cross multiply
    228,773.36x = 315,725.12 × 147,174.48
  4. Step 4: Simplify right side
    228,773.36x = 46,466,680,358.94
  5. Step 5: Solve for x
    x = 46,466,680,358.94/228,773.36
  6. Step 6: Final answer
    x = 203,112.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.