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Finding the Fourth Proportional to 248,390, 342,778.24 and 135,213.60

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Solution

The fourth proportional to 248,390, 342,778.24 and 135,213.60 is: 186,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,390 : 342,778.24 = 135,213.60 : x
  2. Step 2: Convert to fraction form
    248,390/342,778.24 = 135,213.60/x
  3. Step 3: Cross multiply
    248,390x = 342,778.24 × 135,213.60
  4. Step 4: Simplify right side
    248,390x = 46,348,279,832.06
  5. Step 5: Solve for x
    x = 46,348,279,832.06/248,390
  6. Step 6: Final answer
    x = 186,594.79

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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.