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Finding the Fourth Proportional to 270,327.94, 405,449.31 and 90,412

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Solution

The fourth proportional to 270,327.94, 405,449.31 and 90,412 is: 135,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,327.94 : 405,449.31 = 90,412 : x
  2. Step 2: Convert to fraction form
    270,327.94/405,449.31 = 90,412/x
  3. Step 3: Cross multiply
    270,327.94x = 405,449.31 × 90,412
  4. Step 4: Simplify right side
    270,327.94x = 36,657,483,015.72
  5. Step 5: Solve for x
    x = 36,657,483,015.72/270,327.94
  6. Step 6: Final answer
    x = 135,603.75

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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.