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Finding the Fourth Proportional to 395,450.75, 545,719.13 and 214,158.47

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Solution

The fourth proportional to 395,450.75, 545,719.13 and 214,158.47 is: 295,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,450.75 : 545,719.13 = 214,158.47 : x
  2. Step 2: Convert to fraction form
    395,450.75/545,719.13 = 214,158.47/x
  3. Step 3: Cross multiply
    395,450.75x = 545,719.13 × 214,158.47
  4. Step 4: Simplify right side
    395,450.75x = 116,870,372,859.74
  5. Step 5: Solve for x
    x = 116,870,372,859.74/395,450.75
  6. Step 6: Final answer
    x = 295,537.11

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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.