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Finding the Fourth Proportional to 383,791.30, 575,200.95 and 146,817.70

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Solution

The fourth proportional to 383,791.30, 575,200.95 and 146,817.70 is: 220,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,791.30 : 575,200.95 = 146,817.70 : x
  2. Step 2: Convert to fraction form
    383,791.30/575,200.95 = 146,817.70/x
  3. Step 3: Cross multiply
    383,791.30x = 575,200.95 × 146,817.70
  4. Step 4: Simplify right side
    383,791.30x = 84,449,680,516.82
  5. Step 5: Solve for x
    x = 84,449,680,516.82/383,791.30
  6. Step 6: Final answer
    x = 220,040.63

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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.