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Finding the Fourth Proportional to 381,401.60, 571,929.60 and 144,665.60

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Solution

The fourth proportional to 381,401.60, 571,929.60 and 144,665.60 is: 216,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,401.60 : 571,929.60 = 144,665.60 : x
  2. Step 2: Convert to fraction form
    381,401.60/571,929.60 = 144,665.60/x
  3. Step 3: Cross multiply
    381,401.60x = 571,929.60 × 144,665.60
  4. Step 4: Simplify right side
    381,401.60x = 82,738,538,741.76
  5. Step 5: Solve for x
    x = 82,738,538,741.76/381,401.60
  6. Step 6: Final answer
    x = 216,932.86

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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.