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Finding the Fourth Proportional to 378,878.93, 567,826.32 and 153,977.65

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Solution

The fourth proportional to 378,878.93, 567,826.32 and 153,977.65 is: 230,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,878.93 : 567,826.32 = 153,977.65 : x
  2. Step 2: Convert to fraction form
    378,878.93/567,826.32 = 153,977.65/x
  3. Step 3: Cross multiply
    378,878.93x = 567,826.32 × 153,977.65
  4. Step 4: Simplify right side
    378,878.93x = 87,432,562,361.75
  5. Step 5: Solve for x
    x = 87,432,562,361.75/378,878.93
  6. Step 6: Final answer
    x = 230,766.49

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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.