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Finding the Fourth Proportional to 238,576, 329,234.88 and 138,032.32

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Solution

The fourth proportional to 238,576, 329,234.88 and 138,032.32 is: 190,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,576 : 329,234.88 = 138,032.32 : x
  2. Step 2: Convert to fraction form
    238,576/329,234.88 = 138,032.32/x
  3. Step 3: Cross multiply
    238,576x = 329,234.88 × 138,032.32
  4. Step 4: Simplify right side
    238,576x = 45,445,054,311.32
  5. Step 5: Solve for x
    x = 45,445,054,311.32/238,576
  6. Step 6: Final answer
    x = 190,484.60

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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.