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Finding the Fourth Proportional to 421,004.82, 631,081.71 and 181,275.06

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Solution

The fourth proportional to 421,004.82, 631,081.71 and 181,275.06 is: 271,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,004.82 : 631,081.71 = 181,275.06 : x
  2. Step 2: Convert to fraction form
    421,004.82/631,081.71 = 181,275.06/x
  3. Step 3: Cross multiply
    421,004.82x = 631,081.71 × 181,275.06
  4. Step 4: Simplify right side
    421,004.82x = 114,399,374,845.15
  5. Step 5: Solve for x
    x = 114,399,374,845.15/421,004.82
  6. Step 6: Final answer
    x = 271,729.37

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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.