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Finding the Fourth Proportional to 395,694.20, 546,058.47 and 214,405.98

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Solution

The fourth proportional to 395,694.20, 546,058.47 and 214,405.98 is: 295,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,694.20 : 546,058.47 = 214,405.98 : x
  2. Step 2: Convert to fraction form
    395,694.20/546,058.47 = 214,405.98/x
  3. Step 3: Cross multiply
    395,694.20x = 546,058.47 × 214,405.98
  4. Step 4: Simplify right side
    395,694.20x = 117,078,201,397.65
  5. Step 5: Solve for x
    x = 117,078,201,397.65/395,694.20
  6. Step 6: Final answer
    x = 295,880.51

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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.