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Finding the Fourth Proportional to 393,664,006.80, 590,496,010.20 and 189,142,765.20

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Solution

The fourth proportional to 393,664,006.80, 590,496,010.20 and 189,142,765.20 is: 283,714,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,664,006.80 : 590,496,010.20 = 189,142,765.20 : x
  2. Step 2: Convert to fraction form
    393,664,006.80/590,496,010.20 = 189,142,765.20/x
  3. Step 3: Cross multiply
    393,664,006.80x = 590,496,010.20 × 189,142,765.20
  4. Step 4: Simplify right side
    393,664,006.80x = 111,688,048,208,795,408
  5. Step 5: Solve for x
    x = 111,688,048,208,795,408/393,664,006.80
  6. Step 6: Final answer
    x = 283,714,147.80

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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.