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Finding the Fourth Proportional to 354,894.62, 531,740.46 and 214,358

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Solution

The fourth proportional to 354,894.62, 531,740.46 and 214,358 is: 321,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,894.62 : 531,740.46 = 214,358 : x
  2. Step 2: Convert to fraction form
    354,894.62/531,740.46 = 214,358/x
  3. Step 3: Cross multiply
    354,894.62x = 531,740.46 × 214,358
  4. Step 4: Simplify right side
    354,894.62x = 113,982,821,524.68
  5. Step 5: Solve for x
    x = 113,982,821,524.68/354,894.62
  6. Step 6: Final answer
    x = 321,173.71

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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.