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Finding the Fourth Proportional to 395,286.88, 545,495.22 and 213,998.74

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Solution

The fourth proportional to 395,286.88, 545,495.22 and 213,998.74 is: 295,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,286.88 : 545,495.22 = 213,998.74 : x
  2. Step 2: Convert to fraction form
    395,286.88/545,495.22 = 213,998.74/x
  3. Step 3: Cross multiply
    395,286.88x = 545,495.22 × 213,998.74
  4. Step 4: Simplify right side
    395,286.88x = 116,735,289,756.02
  5. Step 5: Solve for x
    x = 116,735,289,756.02/395,286.88
  6. Step 6: Final answer
    x = 295,317.90

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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.