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Finding the Fourth Proportional to 270,409.49, 405,585.03 and 90,474.54

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Solution

The fourth proportional to 270,409.49, 405,585.03 and 90,474.54 is: 135,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,409.49 : 405,585.03 = 90,474.54 : x
  2. Step 2: Convert to fraction form
    270,409.49/405,585.03 = 90,474.54/x
  3. Step 3: Cross multiply
    270,409.49x = 405,585.03 × 90,474.54
  4. Step 4: Simplify right side
    270,409.49x = 36,695,119,020.14
  5. Step 5: Solve for x
    x = 36,695,119,020.14/270,409.49
  6. Step 6: Final answer
    x = 135,702.04

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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.