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Finding the Fourth Proportional to 315,447.56, 472,989.54 and 215,728.62

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Solution

The fourth proportional to 315,447.56, 472,989.54 and 215,728.62 is: 323,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,447.56 : 472,989.54 = 215,728.62 : x
  2. Step 2: Convert to fraction form
    315,447.56/472,989.54 = 215,728.62/x
  3. Step 3: Cross multiply
    315,447.56x = 472,989.54 × 215,728.62
  4. Step 4: Simplify right side
    315,447.56x = 102,037,380,738.64
  5. Step 5: Solve for x
    x = 102,037,380,738.64/315,447.56
  6. Step 6: Final answer
    x = 323,468.60

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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.