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Finding the Fourth Proportional to 395,399.26, 545,649.99 and 214,111.19

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Solution

The fourth proportional to 395,399.26, 545,649.99 and 214,111.19 is: 295,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,399.26 : 545,649.99 = 214,111.19 : x
  2. Step 2: Convert to fraction form
    395,399.26/545,649.99 = 214,111.19/x
  3. Step 3: Cross multiply
    395,399.26x = 545,649.99 × 214,111.19
  4. Step 4: Simplify right side
    395,399.26x = 116,829,769,515.52
  5. Step 5: Solve for x
    x = 116,829,769,515.52/395,399.26
  6. Step 6: Final answer
    x = 295,472.91

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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.