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Finding the Fourth Proportional to 220,679.22, 304,459 and 144,242.46

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Solution

The fourth proportional to 220,679.22, 304,459 and 144,242.46 is: 199,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,679.22 : 304,459 = 144,242.46 : x
  2. Step 2: Convert to fraction form
    220,679.22/304,459 = 144,242.46/x
  3. Step 3: Cross multiply
    220,679.22x = 304,459 × 144,242.46
  4. Step 4: Simplify right side
    220,679.22x = 43,915,915,129.14
  5. Step 5: Solve for x
    x = 43,915,915,129.14/220,679.22
  6. Step 6: Final answer
    x = 199,003.40

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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.