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Finding the Fourth Proportional to 395,632.82, 545,972.47 and 214,349.63

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Solution

The fourth proportional to 395,632.82, 545,972.47 and 214,349.63 is: 295,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,632.82 : 545,972.47 = 214,349.63 : x
  2. Step 2: Convert to fraction form
    395,632.82/545,972.47 = 214,349.63/x
  3. Step 3: Cross multiply
    395,632.82x = 545,972.47 × 214,349.63
  4. Step 4: Simplify right side
    395,632.82x = 117,028,993,668.95
  5. Step 5: Solve for x
    x = 117,028,993,668.95/395,632.82
  6. Step 6: Final answer
    x = 295,802.03

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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.