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Finding the Fourth Proportional to 395,104.56, 545,237.10 and 225,325.32

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Solution

The fourth proportional to 395,104.56, 545,237.10 and 225,325.32 is: 310,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,104.56 : 545,237.10 = 225,325.32 : x
  2. Step 2: Convert to fraction form
    395,104.56/545,237.10 = 225,325.32/x
  3. Step 3: Cross multiply
    395,104.56x = 545,237.10 × 225,325.32
  4. Step 4: Simplify right side
    395,104.56x = 122,855,724,033.37
  5. Step 5: Solve for x
    x = 122,855,724,033.37/395,104.56
  6. Step 6: Final answer
    x = 310,944.84

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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.