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Finding the Fourth Proportional to 270,617.36, 405,927.76 and 70,936

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Solution

The fourth proportional to 270,617.36, 405,927.76 and 70,936 is: 106,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,617.36 : 405,927.76 = 70,936 : x
  2. Step 2: Convert to fraction form
    270,617.36/405,927.76 = 70,936/x
  3. Step 3: Cross multiply
    270,617.36x = 405,927.76 × 70,936
  4. Step 4: Simplify right side
    270,617.36x = 28,794,891,583.36
  5. Step 5: Solve for x
    x = 28,794,891,583.36/270,617.36
  6. Step 6: Final answer
    x = 106,404.45

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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.