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Finding the Fourth Proportional to 311,401.86, 467,250.41 and 185,291.23

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Solution

The fourth proportional to 311,401.86, 467,250.41 and 185,291.23 is: 278,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,401.86 : 467,250.41 = 185,291.23 : x
  2. Step 2: Convert to fraction form
    311,401.86/467,250.41 = 185,291.23/x
  3. Step 3: Cross multiply
    311,401.86x = 467,250.41 × 185,291.23
  4. Step 4: Simplify right side
    311,401.86x = 86,577,403,186.90
  5. Step 5: Solve for x
    x = 86,577,403,186.90/311,401.86
  6. Step 6: Final answer
    x = 278,024.68

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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.