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Finding the Fourth Proportional to 421,999.07, 632,692.42 and 197,233.79

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Solution

The fourth proportional to 421,999.07, 632,692.42 and 197,233.79 is: 295,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,999.07 : 632,692.42 = 197,233.79 : x
  2. Step 2: Convert to fraction form
    421,999.07/632,692.42 = 197,233.79/x
  3. Step 3: Cross multiply
    421,999.07x = 632,692.42 × 197,233.79
  4. Step 4: Simplify right side
    421,999.07x = 124,788,320,244.33
  5. Step 5: Solve for x
    x = 124,788,320,244.33/421,999.07
  6. Step 6: Final answer
    x = 295,707.58

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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.