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Finding the Fourth Proportional to 395,420.70, 545,680.87 and 214,132.83

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Solution

The fourth proportional to 395,420.70, 545,680.87 and 214,132.83 is: 295,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,420.70 : 545,680.87 = 214,132.83 : x
  2. Step 2: Convert to fraction form
    395,420.70/545,680.87 = 214,132.83/x
  3. Step 3: Cross multiply
    395,420.70x = 545,680.87 × 214,132.83
  4. Step 4: Simplify right side
    395,420.70x = 116,848,188,969.96
  5. Step 5: Solve for x
    x = 116,848,188,969.96/395,420.70
  6. Step 6: Final answer
    x = 295,503.47

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1.5x scale

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.