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Finding the Fourth Proportional to 255,212.53, 382,899.25 and 120,271.15

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Solution

The fourth proportional to 255,212.53, 382,899.25 and 120,271.15 is: 180,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,212.53 : 382,899.25 = 120,271.15 : x
  2. Step 2: Convert to fraction form
    255,212.53/382,899.25 = 120,271.15/x
  3. Step 3: Cross multiply
    255,212.53x = 382,899.25 × 120,271.15
  4. Step 4: Simplify right side
    255,212.53x = 46,051,733,131.64
  5. Step 5: Solve for x
    x = 46,051,733,131.64/255,212.53
  6. Step 6: Final answer
    x = 180,444.64

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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.