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Finding the Fourth Proportional to 421,456.35, 581,611.65 and 230,469.49

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Solution

The fourth proportional to 421,456.35, 581,611.65 and 230,469.49 is: 318,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,456.35 : 581,611.65 = 230,469.49 : x
  2. Step 2: Convert to fraction form
    421,456.35/581,611.65 = 230,469.49/x
  3. Step 3: Cross multiply
    421,456.35x = 581,611.65 × 230,469.49
  4. Step 4: Simplify right side
    421,456.35x = 134,043,740,353.56
  5. Step 5: Solve for x
    x = 134,043,740,353.56/421,456.35
  6. Step 6: Final answer
    x = 318,048.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.