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Finding the Fourth Proportional to 471,857,874.80, 707,786,812.20 and 288,191,865.20

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Solution

The fourth proportional to 471,857,874.80, 707,786,812.20 and 288,191,865.20 is: 432,287,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,857,874.80 : 707,786,812.20 = 288,191,865.20 : x
  2. Step 2: Convert to fraction form
    471,857,874.80/707,786,812.20 = 288,191,865.20/x
  3. Step 3: Cross multiply
    471,857,874.80x = 707,786,812.20 × 288,191,865.20
  4. Step 4: Simplify right side
    471,857,874.80x = 203,978,401,571,880,128
  5. Step 5: Solve for x
    x = 203,978,401,571,880,128/471,857,874.80
  6. Step 6: Final answer
    x = 432,287,797.80

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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.