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Finding the Fourth Proportional to 395,622.60, 545,958.43 and 214,339.06

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Solution

The fourth proportional to 395,622.60, 545,958.43 and 214,339.06 is: 295,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,622.60 : 545,958.43 = 214,339.06 : x
  2. Step 2: Convert to fraction form
    395,622.60/545,958.43 = 214,339.06/x
  3. Step 3: Cross multiply
    395,622.60x = 545,958.43 × 214,339.06
  4. Step 4: Simplify right side
    395,622.60x = 117,020,216,831.88
  5. Step 5: Solve for x
    x = 117,020,216,831.88/395,622.60
  6. Step 6: Final answer
    x = 295,787.49

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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.