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Finding the Fourth Proportional to 421,161.93, 631,707.41 and 181,266.14

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Solution

The fourth proportional to 421,161.93, 631,707.41 and 181,266.14 is: 271,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,161.93 : 631,707.41 = 181,266.14 : x
  2. Step 2: Convert to fraction form
    421,161.93/631,707.41 = 181,266.14/x
  3. Step 3: Cross multiply
    421,161.93x = 631,707.41 × 181,266.14
  4. Step 4: Simplify right side
    421,161.93x = 114,507,161,279.56
  5. Step 5: Solve for x
    x = 114,507,161,279.56/421,161.93
  6. Step 6: Final answer
    x = 271,883.93

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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.