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Finding the Fourth Proportional to 455,326.81, 682,871.16 and 135,392.51

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Solution

The fourth proportional to 455,326.81, 682,871.16 and 135,392.51 is: 203,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,326.81 : 682,871.16 = 135,392.51 : x
  2. Step 2: Convert to fraction form
    455,326.81/682,871.16 = 135,392.51/x
  3. Step 3: Cross multiply
    455,326.81x = 682,871.16 × 135,392.51
  4. Step 4: Simplify right side
    455,326.81x = 92,455,640,359.01
  5. Step 5: Solve for x
    x = 92,455,640,359.01/455,326.81
  6. Step 6: Final answer
    x = 203,053.36

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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.