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Finding the Fourth Proportional to 381,379.76, 571,988.64 and 144,639.44

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Solution

The fourth proportional to 381,379.76, 571,988.64 and 144,639.44 is: 216,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,379.76 : 571,988.64 = 144,639.44 : x
  2. Step 2: Convert to fraction form
    381,379.76/571,988.64 = 144,639.44/x
  3. Step 3: Cross multiply
    381,379.76x = 571,988.64 × 144,639.44
  4. Step 4: Simplify right side
    381,379.76x = 82,732,116,575.96
  5. Step 5: Solve for x
    x = 82,732,116,575.96/381,379.76
  6. Step 6: Final answer
    x = 216,928.44

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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.