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Finding the Fourth Proportional to 383,761.96, 575,644.02 and 134,385.64

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Solution

The fourth proportional to 383,761.96, 575,644.02 and 134,385.64 is: 201,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,761.96 : 575,644.02 = 134,385.64 : x
  2. Step 2: Convert to fraction form
    383,761.96/575,644.02 = 134,385.64/x
  3. Step 3: Cross multiply
    383,761.96x = 575,644.02 × 134,385.64
  4. Step 4: Simplify right side
    383,761.96x = 77,358,290,039.87
  5. Step 5: Solve for x
    x = 77,358,290,039.87/383,761.96
  6. Step 6: Final answer
    x = 201,578.84

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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.