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Finding the Fourth Proportional to 538,270.64, 807,412.12 and 230,481.16

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Solution

The fourth proportional to 538,270.64, 807,412.12 and 230,481.16 is: 345,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,270.64 : 807,412.12 = 230,481.16 : x
  2. Step 2: Convert to fraction form
    538,270.64/807,412.12 = 230,481.16/x
  3. Step 3: Cross multiply
    538,270.64x = 807,412.12 × 230,481.16
  4. Step 4: Simplify right side
    538,270.64x = 186,093,282,015.66
  5. Step 5: Solve for x
    x = 186,093,282,015.66/538,270.64
  6. Step 6: Final answer
    x = 345,724.38

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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.