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Finding the Fourth Proportional to 395,313.40, 545,525.90 and 214,023.86

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Solution

The fourth proportional to 395,313.40, 545,525.90 and 214,023.86 is: 295,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,313.40 : 545,525.90 = 214,023.86 : x
  2. Step 2: Convert to fraction form
    395,313.40/545,525.90 = 214,023.86/x
  3. Step 3: Cross multiply
    395,313.40x = 545,525.90 × 214,023.86
  4. Step 4: Simplify right side
    395,313.40x = 116,755,558,847.97
  5. Step 5: Solve for x
    x = 116,755,558,847.97/395,313.40
  6. Step 6: Final answer
    x = 295,349.36

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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.