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Finding the Fourth Proportional to 395,583.78, 546,003.27 and 225,916.32

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Solution

The fourth proportional to 395,583.78, 546,003.27 and 225,916.32 is: 311,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,583.78 : 546,003.27 = 225,916.32 : x
  2. Step 2: Convert to fraction form
    395,583.78/546,003.27 = 225,916.32/x
  3. Step 3: Cross multiply
    395,583.78x = 546,003.27 × 225,916.32
  4. Step 4: Simplify right side
    395,583.78x = 123,351,049,466.37
  5. Step 5: Solve for x
    x = 123,351,049,466.37/395,583.78
  6. Step 6: Final answer
    x = 311,820.29

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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.