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Finding the Fourth Proportional to 538,365.96, 807,921.76 and 214,120.80

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Solution

The fourth proportional to 538,365.96, 807,921.76 and 214,120.80 is: 321,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,365.96 : 807,921.76 = 214,120.80 : x
  2. Step 2: Convert to fraction form
    538,365.96/807,921.76 = 214,120.80/x
  3. Step 3: Cross multiply
    538,365.96x = 807,921.76 × 214,120.80
  4. Step 4: Simplify right side
    538,365.96x = 172,992,853,588.61
  5. Step 5: Solve for x
    x = 172,992,853,588.61/538,365.96
  6. Step 6: Final answer
    x = 321,329.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.