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Finding the Fourth Proportional to 395,583.40, 545,906.74 and 214,295.32

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Solution

The fourth proportional to 395,583.40, 545,906.74 and 214,295.32 is: 295,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,583.40 : 545,906.74 = 214,295.32 : x
  2. Step 2: Convert to fraction form
    395,583.40/545,906.74 = 214,295.32/x
  3. Step 3: Cross multiply
    395,583.40x = 545,906.74 × 214,295.32
  4. Step 4: Simplify right side
    395,583.40x = 116,985,259,538.46
  5. Step 5: Solve for x
    x = 116,985,259,538.46/395,583.40
  6. Step 6: Final answer
    x = 295,728.43

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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.