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Finding the Fourth Proportional to 421,401.42, 632,102.67 and 172,083.42

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Solution

The fourth proportional to 421,401.42, 632,102.67 and 172,083.42 is: 258,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,401.42 : 632,102.67 = 172,083.42 : x
  2. Step 2: Convert to fraction form
    421,401.42/632,102.67 = 172,083.42/x
  3. Step 3: Cross multiply
    421,401.42x = 632,102.67 × 172,083.42
  4. Step 4: Simplify right side
    421,401.42x = 108,774,389,244.73
  5. Step 5: Solve for x
    x = 108,774,389,244.73/421,401.42
  6. Step 6: Final answer
    x = 258,125.35

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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.