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Finding the Fourth Proportional to 270,410.49, 405,586.53 and 90,475.54

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Solution

The fourth proportional to 270,410.49, 405,586.53 and 90,475.54 is: 135,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,410.49 : 405,586.53 = 90,475.54 : x
  2. Step 2: Convert to fraction form
    270,410.49/405,586.53 = 90,475.54/x
  3. Step 3: Cross multiply
    270,410.49x = 405,586.53 × 90,475.54
  4. Step 4: Simplify right side
    270,410.49x = 36,695,660,318.48
  5. Step 5: Solve for x
    x = 36,695,660,318.48/270,410.49
  6. Step 6: Final answer
    x = 135,703.54

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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.