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Finding the Fourth Proportional to 413,957.44, 621,015.36 and 133,399.36

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Solution

The fourth proportional to 413,957.44, 621,015.36 and 133,399.36 is: 200,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,957.44 : 621,015.36 = 133,399.36 : x
  2. Step 2: Convert to fraction form
    413,957.44/621,015.36 = 133,399.36/x
  3. Step 3: Cross multiply
    413,957.44x = 621,015.36 × 133,399.36
  4. Step 4: Simplify right side
    413,957.44x = 82,843,051,574.17
  5. Step 5: Solve for x
    x = 82,843,051,574.17/413,957.44
  6. Step 6: Final answer
    x = 200,124.56

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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.