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Finding the Fourth Proportional to 395,866.82, 546,303.21 and 214,584.77

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Solution

The fourth proportional to 395,866.82, 546,303.21 and 214,584.77 is: 296,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,866.82 : 546,303.21 = 214,584.77 : x
  2. Step 2: Convert to fraction form
    395,866.82/546,303.21 = 214,584.77/x
  3. Step 3: Cross multiply
    395,866.82x = 546,303.21 × 214,584.77
  4. Step 4: Simplify right side
    395,866.82x = 117,228,348,668.11
  5. Step 5: Solve for x
    x = 117,228,348,668.11/395,866.82
  6. Step 6: Final answer
    x = 296,130.78

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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.