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Finding the Fourth Proportional to 269,448.63, 371,838.96 and 154,734.78

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Solution

The fourth proportional to 269,448.63, 371,838.96 and 154,734.78 is: 213,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,448.63 : 371,838.96 = 154,734.78 : x
  2. Step 2: Convert to fraction form
    269,448.63/371,838.96 = 154,734.78/x
  3. Step 3: Cross multiply
    269,448.63x = 371,838.96 × 154,734.78
  4. Step 4: Simplify right side
    269,448.63x = 57,536,419,671.03
  5. Step 5: Solve for x
    x = 57,536,419,671.03/269,448.63
  6. Step 6: Final answer
    x = 213,533.91

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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.