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Finding the Fourth Proportional to 421,120.92, 631,588.31 and 121,536.32

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Solution

The fourth proportional to 421,120.92, 631,588.31 and 121,536.32 is: 182,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,120.92 : 631,588.31 = 121,536.32 : x
  2. Step 2: Convert to fraction form
    421,120.92/631,588.31 = 121,536.32/x
  3. Step 3: Cross multiply
    421,120.92x = 631,588.31 × 121,536.32
  4. Step 4: Simplify right side
    421,120.92x = 76,760,917,677.29
  5. Step 5: Solve for x
    x = 76,760,917,677.29/421,120.92
  6. Step 6: Final answer
    x = 182,277.62

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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.