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Finding the Fourth Proportional to 238,301.74, 328,858.66 and 130,874

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Solution

The fourth proportional to 238,301.74, 328,858.66 and 130,874 is: 180,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,301.74 : 328,858.66 = 130,874 : x
  2. Step 2: Convert to fraction form
    238,301.74/328,858.66 = 130,874/x
  3. Step 3: Cross multiply
    238,301.74x = 328,858.66 × 130,874
  4. Step 4: Simplify right side
    238,301.74x = 43,039,048,268.84
  5. Step 5: Solve for x
    x = 43,039,048,268.84/238,301.74
  6. Step 6: Final answer
    x = 180,607.36

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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.