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Finding the Fourth Proportional to 300,510.78, 414,703.36 and 164,542.26

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Solution

The fourth proportional to 300,510.78, 414,703.36 and 164,542.26 is: 227,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,510.78 : 414,703.36 = 164,542.26 : x
  2. Step 2: Convert to fraction form
    300,510.78/414,703.36 = 164,542.26/x
  3. Step 3: Cross multiply
    300,510.78x = 414,703.36 × 164,542.26
  4. Step 4: Simplify right side
    300,510.78x = 68,236,228,083.99
  5. Step 5: Solve for x
    x = 68,236,228,083.99/300,510.78
  6. Step 6: Final answer
    x = 227,067.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.