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Finding the Fourth Proportional to 255,238.46, 382,857.81 and 105,314.04

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Solution

The fourth proportional to 255,238.46, 382,857.81 and 105,314.04 is: 157,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,238.46 : 382,857.81 = 105,314.04 : x
  2. Step 2: Convert to fraction form
    255,238.46/382,857.81 = 105,314.04/x
  3. Step 3: Cross multiply
    255,238.46x = 382,857.81 × 105,314.04
  4. Step 4: Simplify right side
    255,238.46x = 40,320,302,321.72
  5. Step 5: Solve for x
    x = 40,320,302,321.72/255,238.46
  6. Step 6: Final answer
    x = 157,971.11

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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.