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Finding the Fourth Proportional to 421,007.45, 631,085.56 and 181,277.69

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Solution

The fourth proportional to 421,007.45, 631,085.56 and 181,277.69 is: 271,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,007.45 : 631,085.56 = 181,277.69 : x
  2. Step 2: Convert to fraction form
    421,007.45/631,085.56 = 181,277.69/x
  3. Step 3: Cross multiply
    421,007.45x = 631,085.56 × 181,277.69
  4. Step 4: Simplify right side
    421,007.45x = 114,401,728,900.53
  5. Step 5: Solve for x
    x = 114,401,728,900.53/421,007.45
  6. Step 6: Final answer
    x = 271,733.27

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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.