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Finding the Fourth Proportional to 323,896.84, 446,746.26 and 280,799.29

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Solution

The fourth proportional to 323,896.84, 446,746.26 and 280,799.29 is: 387,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,896.84 : 446,746.26 = 280,799.29 : x
  2. Step 2: Convert to fraction form
    323,896.84/446,746.26 = 280,799.29/x
  3. Step 3: Cross multiply
    323,896.84x = 446,746.26 × 280,799.29
  4. Step 4: Simplify right side
    323,896.84x = 125,446,032,618.16
  5. Step 5: Solve for x
    x = 125,446,032,618.16/323,896.84
  6. Step 6: Final answer
    x = 387,302.43

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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.