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Finding the Fourth Proportional to 248,144.56, 342,256.14 and 157,422.28

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Solution

The fourth proportional to 248,144.56, 342,256.14 and 157,422.28 is: 217,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,144.56 : 342,256.14 = 157,422.28 : x
  2. Step 2: Convert to fraction form
    248,144.56/342,256.14 = 157,422.28/x
  3. Step 3: Cross multiply
    248,144.56x = 342,256.14 × 157,422.28
  4. Step 4: Simplify right side
    248,144.56x = 53,878,741,902.80
  5. Step 5: Solve for x
    x = 53,878,741,902.80/248,144.56
  6. Step 6: Final answer
    x = 217,126.43

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1.5x scale

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.