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Finding the Fourth Proportional to 238,341, 328,905.96 and 130,908.54

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Solution

The fourth proportional to 238,341, 328,905.96 and 130,908.54 is: 180,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,341 : 328,905.96 = 130,908.54 : x
  2. Step 2: Convert to fraction form
    238,341/328,905.96 = 130,908.54/x
  3. Step 3: Cross multiply
    238,341x = 328,905.96 × 130,908.54
  4. Step 4: Simplify right side
    238,341x = 43,056,599,020.90
  5. Step 5: Solve for x
    x = 43,056,599,020.90/238,341
  6. Step 6: Final answer
    x = 180,651.25

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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.