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Finding the Fourth Proportional to 395,788.49, 546,186.71 and 214,504.82

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Solution

The fourth proportional to 395,788.49, 546,186.71 and 214,504.82 is: 296,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,788.49 : 546,186.71 = 214,504.82 : x
  2. Step 2: Convert to fraction form
    395,788.49/546,186.71 = 214,504.82/x
  3. Step 3: Cross multiply
    395,788.49x = 546,186.71 × 214,504.82
  4. Step 4: Simplify right side
    395,788.49x = 117,159,678,111.49
  5. Step 5: Solve for x
    x = 117,159,678,111.49/395,788.49
  6. Step 6: Final answer
    x = 296,015.88

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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.