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Finding the Fourth Proportional to 335,976, 503,964 and 138,984

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Solution

The fourth proportional to 335,976, 503,964 and 138,984 is: 208,476

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,976 : 503,964 = 138,984 : x
  2. Step 2: Convert to fraction form
    335,976/503,964 = 138,984/x
  3. Step 3: Cross multiply
    335,976x = 503,964 × 138,984
  4. Step 4: Simplify right side
    335,976x = 70,042,932,576
  5. Step 5: Solve for x
    x = 70,042,932,576/335,976
  6. Step 6: Final answer
    x = 208,476

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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.