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Finding the Fourth Proportional to 397,706.50, 548,835.06 and 218,858.50

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Solution

The fourth proportional to 397,706.50, 548,835.06 and 218,858.50 is: 302,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,706.50 : 548,835.06 = 218,858.50 : x
  2. Step 2: Convert to fraction form
    397,706.50/548,835.06 = 218,858.50/x
  3. Step 3: Cross multiply
    397,706.50x = 548,835.06 × 218,858.50
  4. Step 4: Simplify right side
    397,706.50x = 120,117,217,979.01
  5. Step 5: Solve for x
    x = 120,117,217,979.01/397,706.50
  6. Step 6: Final answer
    x = 302,024.78

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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.