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Finding the Fourth Proportional to 395,099.49, 545,237.27 and 213,811.40

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Solution

The fourth proportional to 395,099.49, 545,237.27 and 213,811.40 is: 295,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,099.49 : 545,237.27 = 213,811.40 : x
  2. Step 2: Convert to fraction form
    395,099.49/545,237.27 = 213,811.40/x
  3. Step 3: Cross multiply
    395,099.49x = 545,237.27 × 213,811.40
  4. Step 4: Simplify right side
    395,099.49x = 116,577,941,839.22
  5. Step 5: Solve for x
    x = 116,577,941,839.22/395,099.49
  6. Step 6: Final answer
    x = 295,059.71

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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.