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Finding the Fourth Proportional to 238,408.83, 329,009.99 and 130,985.82

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Solution

The fourth proportional to 238,408.83, 329,009.99 and 130,985.82 is: 180,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,408.83 : 329,009.99 = 130,985.82 : x
  2. Step 2: Convert to fraction form
    238,408.83/329,009.99 = 130,985.82/x
  3. Step 3: Cross multiply
    238,408.83x = 329,009.99 × 130,985.82
  4. Step 4: Simplify right side
    238,408.83x = 43,095,642,673.41
  5. Step 5: Solve for x
    x = 43,095,642,673.41/238,408.83
  6. Step 6: Final answer
    x = 180,763.62

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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.