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Finding the Fourth Proportional to 380,842.44, 571,343.76 and 144,179.88

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Solution

The fourth proportional to 380,842.44, 571,343.76 and 144,179.88 is: 216,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,842.44 : 571,343.76 = 144,179.88 : x
  2. Step 2: Convert to fraction form
    380,842.44/571,343.76 = 144,179.88/x
  3. Step 3: Cross multiply
    380,842.44x = 571,343.76 × 144,179.88
  4. Step 4: Simplify right side
    380,842.44x = 82,376,274,755.55
  5. Step 5: Solve for x
    x = 82,376,274,755.55/380,842.44
  6. Step 6: Final answer
    x = 216,300.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.