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Finding the Fourth Proportional to 380,983.86, 571,359.12 and 263,410.74

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Solution

The fourth proportional to 380,983.86, 571,359.12 and 263,410.74 is: 395,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,983.86 : 571,359.12 = 263,410.74 : x
  2. Step 2: Convert to fraction form
    380,983.86/571,359.12 = 263,410.74/x
  3. Step 3: Cross multiply
    380,983.86x = 571,359.12 × 263,410.74
  4. Step 4: Simplify right side
    380,983.86x = 150,502,128,604.95
  5. Step 5: Solve for x
    x = 150,502,128,604.95/380,983.86
  6. Step 6: Final answer
    x = 395,035.44

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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.