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Finding the Fourth Proportional to 289,620,761.70, 434,431,142.55 and 289,620,761.70

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Solution

The fourth proportional to 289,620,761.70, 434,431,142.55 and 289,620,761.70 is: 434,431,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,620,761.70 : 434,431,142.55 = 289,620,761.70 : x
  2. Step 2: Convert to fraction form
    289,620,761.70/434,431,142.55 = 289,620,761.70/x
  3. Step 3: Cross multiply
    289,620,761.70x = 434,431,142.55 × 289,620,761.70
  4. Step 4: Simplify right side
    289,620,761.70x = 125,820,278,411,532,272
  5. Step 5: Solve for x
    x = 125,820,278,411,532,272/289,620,761.70
  6. Step 6: Final answer
    x = 434,431,142.55

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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.