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Finding the Fourth Proportional to 462,676.40, 638,628.84 and 269,129.36

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Solution

The fourth proportional to 462,676.40, 638,628.84 and 269,129.36 is: 371,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,676.40 : 638,628.84 = 269,129.36 : x
  2. Step 2: Convert to fraction form
    462,676.40/638,628.84 = 269,129.36/x
  3. Step 3: Cross multiply
    462,676.40x = 638,628.84 × 269,129.36
  4. Step 4: Simplify right side
    462,676.40x = 171,873,770,986.74
  5. Step 5: Solve for x
    x = 171,873,770,986.74/462,676.40
  6. Step 6: Final answer
    x = 371,477.28

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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.