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Finding the Fourth Proportional to 255,698.65, 383,464.93 and 120,741.84

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Solution

The fourth proportional to 255,698.65, 383,464.93 and 120,741.84 is: 181,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,698.65 : 383,464.93 = 120,741.84 : x
  2. Step 2: Convert to fraction form
    255,698.65/383,464.93 = 120,741.84/x
  3. Step 3: Cross multiply
    255,698.65x = 383,464.93 × 120,741.84
  4. Step 4: Simplify right side
    255,698.65x = 46,300,261,223.67
  5. Step 5: Solve for x
    x = 46,300,261,223.67/255,698.65
  6. Step 6: Final answer
    x = 181,073.55

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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.