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Finding the Fourth Proportional to 299,305.49, 413,043.99 and 163,340.51

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Solution

The fourth proportional to 299,305.49, 413,043.99 and 163,340.51 is: 225,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,305.49 : 413,043.99 = 163,340.51 : x
  2. Step 2: Convert to fraction form
    299,305.49/413,043.99 = 163,340.51/x
  3. Step 3: Cross multiply
    299,305.49x = 413,043.99 × 163,340.51
  4. Step 4: Simplify right side
    299,305.49x = 67,466,815,979.03
  5. Step 5: Solve for x
    x = 67,466,815,979.03/299,305.49
  6. Step 6: Final answer
    x = 225,411.22

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