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Finding the Fourth Proportional to 443,234,809.80, 664,852,214.70 and 259,568,800.20

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Solution

The fourth proportional to 443,234,809.80, 664,852,214.70 and 259,568,800.20 is: 389,353,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,234,809.80 : 664,852,214.70 = 259,568,800.20 : x
  2. Step 2: Convert to fraction form
    443,234,809.80/664,852,214.70 = 259,568,800.20/x
  3. Step 3: Cross multiply
    443,234,809.80x = 664,852,214.70 × 259,568,800.20
  4. Step 4: Simplify right side
    443,234,809.80x = 172,574,891,679,991,808
  5. Step 5: Solve for x
    x = 172,574,891,679,991,808/443,234,809.80
  6. Step 6: Final answer
    x = 389,353,200.30

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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.