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Finding the Fourth Proportional to 395,111.94, 545,254.43 and 213,823.86

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Solution

The fourth proportional to 395,111.94, 545,254.43 and 213,823.86 is: 295,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,111.94 : 545,254.43 = 213,823.86 : x
  2. Step 2: Convert to fraction form
    395,111.94/545,254.43 = 213,823.86/x
  3. Step 3: Cross multiply
    395,111.94x = 545,254.43 × 213,823.86
  4. Step 4: Simplify right side
    395,111.94x = 116,588,406,904.70
  5. Step 5: Solve for x
    x = 116,588,406,904.70/395,111.94
  6. Step 6: Final answer
    x = 295,076.90

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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.