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Finding the Fourth Proportional to 256,556.88, 354,143.60 and 154,588

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Solution

The fourth proportional to 256,556.88, 354,143.60 and 154,588 is: 213,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,556.88 : 354,143.60 = 154,588 : x
  2. Step 2: Convert to fraction form
    256,556.88/354,143.60 = 154,588/x
  3. Step 3: Cross multiply
    256,556.88x = 354,143.60 × 154,588
  4. Step 4: Simplify right side
    256,556.88x = 54,746,350,836.80
  5. Step 5: Solve for x
    x = 54,746,350,836.80/256,556.88
  6. Step 6: Final answer
    x = 213,388.75

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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.