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Finding the Fourth Proportional to 238,422, 329,010.60 and 142,910.16

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Solution

The fourth proportional to 238,422, 329,010.60 and 142,910.16 is: 197,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,422 : 329,010.60 = 142,910.16 : x
  2. Step 2: Convert to fraction form
    238,422/329,010.60 = 142,910.16/x
  3. Step 3: Cross multiply
    238,422x = 329,010.60 × 142,910.16
  4. Step 4: Simplify right side
    238,422x = 47,018,957,487.70
  5. Step 5: Solve for x
    x = 47,018,957,487.70/238,422
  6. Step 6: Final answer
    x = 197,208.97

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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.