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Finding the Fourth Proportional to 395,563.21, 545,879.88 and 214,275.16

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Solution

The fourth proportional to 395,563.21, 545,879.88 and 214,275.16 is: 295,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,563.21 : 545,879.88 = 214,275.16 : x
  2. Step 2: Convert to fraction form
    395,563.21/545,879.88 = 214,275.16/x
  3. Step 3: Cross multiply
    395,563.21x = 545,879.88 × 214,275.16
  4. Step 4: Simplify right side
    395,563.21x = 116,968,498,627.78
  5. Step 5: Solve for x
    x = 116,968,498,627.78/395,563.21
  6. Step 6: Final answer
    x = 295,701.16

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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.