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Finding the Fourth Proportional to 238,409.64, 329,004 and 129,513.24

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Solution

The fourth proportional to 238,409.64, 329,004 and 129,513.24 is: 178,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,409.64 : 329,004 = 129,513.24 : x
  2. Step 2: Convert to fraction form
    238,409.64/329,004 = 129,513.24/x
  3. Step 3: Cross multiply
    238,409.64x = 329,004 × 129,513.24
  4. Step 4: Simplify right side
    238,409.64x = 42,610,374,012.96
  5. Step 5: Solve for x
    x = 42,610,374,012.96/238,409.64
  6. Step 6: Final answer
    x = 178,727.56

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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.