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Finding the Fourth Proportional to 395,263.25, 545,462.67 and 213,975.15

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Solution

The fourth proportional to 395,263.25, 545,462.67 and 213,975.15 is: 295,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,263.25 : 545,462.67 = 213,975.15 : x
  2. Step 2: Convert to fraction form
    395,263.25/545,462.67 = 213,975.15/x
  3. Step 3: Cross multiply
    395,263.25x = 545,462.67 × 213,975.15
  4. Step 4: Simplify right side
    395,263.25x = 116,715,456,632.65
  5. Step 5: Solve for x
    x = 116,715,456,632.65/395,263.25
  6. Step 6: Final answer
    x = 295,285.37

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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.