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Finding the Fourth Proportional to 270,238.31, 405,374.18 and 90,339.92

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Solution

The fourth proportional to 270,238.31, 405,374.18 and 90,339.92 is: 135,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,238.31 : 405,374.18 = 90,339.92 : x
  2. Step 2: Convert to fraction form
    270,238.31/405,374.18 = 90,339.92/x
  3. Step 3: Cross multiply
    270,238.31x = 405,374.18 × 90,339.92
  4. Step 4: Simplify right side
    270,238.31x = 36,621,470,539.57
  5. Step 5: Solve for x
    x = 36,621,470,539.57/270,238.31
  6. Step 6: Final answer
    x = 135,515.47

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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.