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Finding the Fourth Proportional to 313,190.34, 469,632.41 and 218,465.90

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Solution

The fourth proportional to 313,190.34, 469,632.41 and 218,465.90 is: 327,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,190.34 : 469,632.41 = 218,465.90 : x
  2. Step 2: Convert to fraction form
    313,190.34/469,632.41 = 218,465.90/x
  3. Step 3: Cross multiply
    313,190.34x = 469,632.41 × 218,465.90
  4. Step 4: Simplify right side
    313,190.34x = 102,598,667,119.82
  5. Step 5: Solve for x
    x = 102,598,667,119.82/313,190.34
  6. Step 6: Final answer
    x = 327,592.06

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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.