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Finding the Fourth Proportional to 320,604.42, 481,017.15 and 143,233.86

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Solution

The fourth proportional to 320,604.42, 481,017.15 and 143,233.86 is: 214,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,604.42 : 481,017.15 = 143,233.86 : x
  2. Step 2: Convert to fraction form
    320,604.42/481,017.15 = 143,233.86/x
  3. Step 3: Cross multiply
    320,604.42x = 481,017.15 × 143,233.86
  4. Step 4: Simplify right side
    320,604.42x = 68,897,943,120.70
  5. Step 5: Solve for x
    x = 68,897,943,120.70/320,604.42
  6. Step 6: Final answer
    x = 214,900.17

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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.