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Finding the Fourth Proportional to 395,113.01, 545,255.90 and 213,824.93

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Solution

The fourth proportional to 395,113.01, 545,255.90 and 213,824.93 is: 295,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,113.01 : 545,255.90 = 213,824.93 : x
  2. Step 2: Convert to fraction form
    395,113.01/545,255.90 = 213,824.93/x
  3. Step 3: Cross multiply
    395,113.01x = 545,255.90 × 213,824.93
  4. Step 4: Simplify right side
    395,113.01x = 116,589,300,854.18
  5. Step 5: Solve for x
    x = 116,589,300,854.18/395,113.01
  6. Step 6: Final answer
    x = 295,078.37

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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.