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Finding the Fourth Proportional to 395,640.54, 545,984.01 and 214,353.72

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Solution

The fourth proportional to 395,640.54, 545,984.01 and 214,353.72 is: 295,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,640.54 : 545,984.01 = 214,353.72 : x
  2. Step 2: Convert to fraction form
    395,640.54/545,984.01 = 214,353.72/x
  3. Step 3: Cross multiply
    395,640.54x = 545,984.01 × 214,353.72
  4. Step 4: Simplify right side
    395,640.54x = 117,033,703,604.02
  5. Step 5: Solve for x
    x = 117,033,703,604.02/395,640.54
  6. Step 6: Final answer
    x = 295,808.17

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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.