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Finding the Fourth Proportional to 538,360.97, 807,914.25 and 214,115.81

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Solution

The fourth proportional to 538,360.97, 807,914.25 and 214,115.81 is: 321,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,360.97 : 807,914.25 = 214,115.81 : x
  2. Step 2: Convert to fraction form
    538,360.97/807,914.25 = 214,115.81/x
  3. Step 3: Cross multiply
    538,360.97x = 807,914.25 × 214,115.81
  4. Step 4: Simplify right side
    538,360.97x = 172,987,210,009.72
  5. Step 5: Solve for x
    x = 172,987,210,009.72/538,360.97
  6. Step 6: Final answer
    x = 321,321.98

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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.