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Finding the Fourth Proportional to 395,399, 545,649.64 and 214,110.92

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Solution

The fourth proportional to 395,399, 545,649.64 and 214,110.92 is: 295,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,399 : 545,649.64 = 214,110.92 : x
  2. Step 2: Convert to fraction form
    395,399/545,649.64 = 214,110.92/x
  3. Step 3: Cross multiply
    395,399x = 545,649.64 × 214,110.92
  4. Step 4: Simplify right side
    395,399x = 116,829,546,418.07
  5. Step 5: Solve for x
    x = 116,829,546,418.07/395,399
  6. Step 6: Final answer
    x = 295,472.54

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1.5x scale

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.