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Finding the Fourth Proportional to 395,471.90, 545,748.10 and 214,179.66

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Solution

The fourth proportional to 395,471.90, 545,748.10 and 214,179.66 is: 295,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,471.90 : 545,748.10 = 214,179.66 : x
  2. Step 2: Convert to fraction form
    395,471.90/545,748.10 = 214,179.66/x
  3. Step 3: Cross multiply
    395,471.90x = 545,748.10 × 214,179.66
  4. Step 4: Simplify right side
    395,471.90x = 116,888,141,968.20
  5. Step 5: Solve for x
    x = 116,888,141,968.20/395,471.90
  6. Step 6: Final answer
    x = 295,566.24

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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.