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Finding the Fourth Proportional to 395,864.65, 546,290.06 and 214,571.94

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Solution

The fourth proportional to 395,864.65, 546,290.06 and 214,571.94 is: 296,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,864.65 : 546,290.06 = 214,571.94 : x
  2. Step 2: Convert to fraction form
    395,864.65/546,290.06 = 214,571.94/x
  3. Step 3: Cross multiply
    395,864.65x = 546,290.06 × 214,571.94
  4. Step 4: Simplify right side
    395,864.65x = 117,218,514,855.47
  5. Step 5: Solve for x
    x = 117,218,514,855.47/395,864.65
  6. Step 6: Final answer
    x = 296,107.56

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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.