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Finding the Fourth Proportional to 421,233.36, 632,410.56 and 221,693.88

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Solution

The fourth proportional to 421,233.36, 632,410.56 and 221,693.88 is: 332,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,233.36 : 632,410.56 = 221,693.88 : x
  2. Step 2: Convert to fraction form
    421,233.36/632,410.56 = 221,693.88/x
  3. Step 3: Cross multiply
    421,233.36x = 632,410.56 × 221,693.88
  4. Step 4: Simplify right side
    421,233.36x = 140,201,550,799.37
  5. Step 5: Solve for x
    x = 140,201,550,799.37/421,233.36
  6. Step 6: Final answer
    x = 332,835.82

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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.