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Finding the Fourth Proportional to 315,215.20, 472,390.80 and 202,549.60

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Solution

The fourth proportional to 315,215.20, 472,390.80 and 202,549.60 is: 303,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,215.20 : 472,390.80 = 202,549.60 : x
  2. Step 2: Convert to fraction form
    315,215.20/472,390.80 = 202,549.60/x
  3. Step 3: Cross multiply
    315,215.20x = 472,390.80 × 202,549.60
  4. Step 4: Simplify right side
    315,215.20x = 95,682,567,583.68
  5. Step 5: Solve for x
    x = 95,682,567,583.68/315,215.20
  6. Step 6: Final answer
    x = 303,546.81

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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.