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Finding the Fourth Proportional to 228,796.18, 315,631.92 and 143,960.02

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Solution

The fourth proportional to 228,796.18, 315,631.92 and 143,960.02 is: 198,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,796.18 : 315,631.92 = 143,960.02 : x
  2. Step 2: Convert to fraction form
    228,796.18/315,631.92 = 143,960.02/x
  3. Step 3: Cross multiply
    228,796.18x = 315,631.92 × 143,960.02
  4. Step 4: Simplify right side
    228,796.18x = 45,438,377,515.84
  5. Step 5: Solve for x
    x = 45,438,377,515.84/228,796.18
  6. Step 6: Final answer
    x = 198,597.62

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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.