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Finding the Fourth Proportional to 228,506.68, 315,301.62 and 143,563.24

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Solution

The fourth proportional to 228,506.68, 315,301.62 and 143,563.24 is: 198,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,506.68 : 315,301.62 = 143,563.24 : x
  2. Step 2: Convert to fraction form
    228,506.68/315,301.62 = 143,563.24/x
  3. Step 3: Cross multiply
    228,506.68x = 315,301.62 × 143,563.24
  4. Step 4: Simplify right side
    228,506.68x = 45,265,722,144.45
  5. Step 5: Solve for x
    x = 45,265,722,144.45/228,506.68
  6. Step 6: Final answer
    x = 198,093.65

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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.