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Finding the Fourth Proportional to 395,622.70, 545,958.50 and 214,339.50

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Solution

The fourth proportional to 395,622.70, 545,958.50 and 214,339.50 is: 295,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,622.70 : 545,958.50 = 214,339.50 : x
  2. Step 2: Convert to fraction form
    395,622.70/545,958.50 = 214,339.50/x
  3. Step 3: Cross multiply
    395,622.70x = 545,958.50 × 214,339.50
  4. Step 4: Simplify right side
    395,622.70x = 117,020,470,839.05
  5. Step 5: Solve for x
    x = 117,020,470,839.05/395,622.70
  6. Step 6: Final answer
    x = 295,788.06

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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.