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Finding the Fourth Proportional to 228,612.56, 315,458.25 and 131,815.40

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Solution

The fourth proportional to 228,612.56, 315,458.25 and 131,815.40 is: 181,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,612.56 : 315,458.25 = 131,815.40 : x
  2. Step 2: Convert to fraction form
    228,612.56/315,458.25 = 131,815.40/x
  3. Step 3: Cross multiply
    228,612.56x = 315,458.25 × 131,815.40
  4. Step 4: Simplify right side
    228,612.56x = 41,582,255,407.05
  5. Step 5: Solve for x
    x = 41,582,255,407.05/228,612.56
  6. Step 6: Final answer
    x = 181,889.64

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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.