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Finding the Fourth Proportional to 380,977.83, 571,350.11 and 263,404.71

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Solution

The fourth proportional to 380,977.83, 571,350.11 and 263,404.71 is: 395,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,977.83 : 571,350.11 = 263,404.71 : x
  2. Step 2: Convert to fraction form
    380,977.83/571,350.11 = 263,404.71/x
  3. Step 3: Cross multiply
    380,977.83x = 571,350.11 × 263,404.71
  4. Step 4: Simplify right side
    380,977.83x = 150,496,308,716.00
  5. Step 5: Solve for x
    x = 150,496,308,716.00/380,977.83
  6. Step 6: Final answer
    x = 395,026.42

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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.