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Finding the Fourth Proportional to 238,420.98, 329,020.92 and 130,987.44

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Solution

The fourth proportional to 238,420.98, 329,020.92 and 130,987.44 is: 180,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,420.98 : 329,020.92 = 130,987.44 : x
  2. Step 2: Convert to fraction form
    238,420.98/329,020.92 = 130,987.44/x
  3. Step 3: Cross multiply
    238,420.98x = 329,020.92 × 130,987.44
  4. Step 4: Simplify right side
    238,420.98x = 43,097,608,017.24
  5. Step 5: Solve for x
    x = 43,097,608,017.24/238,420.98
  6. Step 6: Final answer
    x = 180,762.65

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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.