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Finding the Fourth Proportional to 395,335.85, 545,561.17 and 214,043.98

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Solution

The fourth proportional to 395,335.85, 545,561.17 and 214,043.98 is: 295,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,335.85 : 545,561.17 = 214,043.98 : x
  2. Step 2: Convert to fraction form
    395,335.85/545,561.17 = 214,043.98/x
  3. Step 3: Cross multiply
    395,335.85x = 545,561.17 × 214,043.98
  4. Step 4: Simplify right side
    395,335.85x = 116,774,082,261.24
  5. Step 5: Solve for x
    x = 116,774,082,261.24/395,335.85
  6. Step 6: Final answer
    x = 295,379.44

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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.