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Finding the Fourth Proportional to 270,388.48, 405,639.83 and 101,905.24

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Solution

The fourth proportional to 270,388.48, 405,639.83 and 101,905.24 is: 152,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,388.48 : 405,639.83 = 101,905.24 : x
  2. Step 2: Convert to fraction form
    270,388.48/405,639.83 = 101,905.24/x
  3. Step 3: Cross multiply
    270,388.48x = 405,639.83 × 101,905.24
  4. Step 4: Simplify right side
    270,388.48x = 41,336,824,229.71
  5. Step 5: Solve for x
    x = 41,336,824,229.71/270,388.48
  6. Step 6: Final answer
    x = 152,879.38

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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.