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Finding the Fourth Proportional to 395,605.52, 545,934.89 and 214,321.98

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Solution

The fourth proportional to 395,605.52, 545,934.89 and 214,321.98 is: 295,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,605.52 : 545,934.89 = 214,321.98 : x
  2. Step 2: Convert to fraction form
    395,605.52/545,934.89 = 214,321.98/x
  3. Step 3: Cross multiply
    395,605.52x = 545,934.89 × 214,321.98
  4. Step 4: Simplify right side
    395,605.52x = 117,005,843,347.06
  5. Step 5: Solve for x
    x = 117,005,843,347.06/395,605.52
  6. Step 6: Final answer
    x = 295,763.93

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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.