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Finding the Fourth Proportional to 395,563.75, 545,880.59 and 214,275.68

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Solution

The fourth proportional to 395,563.75, 545,880.59 and 214,275.68 is: 295,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,563.75 : 545,880.59 = 214,275.68 : x
  2. Step 2: Convert to fraction form
    395,563.75/545,880.59 = 214,275.68/x
  3. Step 3: Cross multiply
    395,563.75x = 545,880.59 × 214,275.68
  4. Step 4: Simplify right side
    395,563.75x = 116,968,934,273.50
  5. Step 5: Solve for x
    x = 116,968,934,273.50/395,563.75
  6. Step 6: Final answer
    x = 295,701.85

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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.