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Finding the Fourth Proportional to 253,446, 379,852.98 and 221,780.86

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Solution

The fourth proportional to 253,446, 379,852.98 and 221,780.86 is: 332,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,446 : 379,852.98 = 221,780.86 : x
  2. Step 2: Convert to fraction form
    253,446/379,852.98 = 221,780.86/x
  3. Step 3: Cross multiply
    253,446x = 379,852.98 × 221,780.86
  4. Step 4: Simplify right side
    253,446x = 84,244,120,577.96
  5. Step 5: Solve for x
    x = 84,244,120,577.96/253,446
  6. Step 6: Final answer
    x = 332,394.75

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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.