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Finding the Fourth Proportional to 289,706,922.40, 434,560,383.60 and 263,347,448.80

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Solution

The fourth proportional to 289,706,922.40, 434,560,383.60 and 263,347,448.80 is: 395,021,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,706,922.40 : 434,560,383.60 = 263,347,448.80 : x
  2. Step 2: Convert to fraction form
    289,706,922.40/434,560,383.60 = 263,347,448.80/x
  3. Step 3: Cross multiply
    289,706,922.40x = 434,560,383.60 × 263,347,448.80
  4. Step 4: Simplify right side
    289,706,922.40x = 114,440,368,370,609,376
  5. Step 5: Solve for x
    x = 114,440,368,370,609,376/289,706,922.40
  6. Step 6: Final answer
    x = 395,021,173.20

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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.