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Finding the Fourth Proportional to 256,211.74, 353,719.78 and 170,287.25

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Solution

The fourth proportional to 256,211.74, 353,719.78 and 170,287.25 is: 235,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,211.74 : 353,719.78 = 170,287.25 : x
  2. Step 2: Convert to fraction form
    256,211.74/353,719.78 = 170,287.25/x
  3. Step 3: Cross multiply
    256,211.74x = 353,719.78 × 170,287.25
  4. Step 4: Simplify right side
    256,211.74x = 60,233,966,412.49
  5. Step 5: Solve for x
    x = 60,233,966,412.49/256,211.74
  6. Step 6: Final answer
    x = 235,094.48

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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.