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Finding the Fourth Proportional to 397,269.50, 548,231.92 and 218,421.50

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Solution

The fourth proportional to 397,269.50, 548,231.92 and 218,421.50 is: 301,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,269.50 : 548,231.92 = 218,421.50 : x
  2. Step 2: Convert to fraction form
    397,269.50/548,231.92 = 218,421.50/x
  3. Step 3: Cross multiply
    397,269.50x = 548,231.92 × 218,421.50
  4. Step 4: Simplify right side
    397,269.50x = 119,745,638,314.28
  5. Step 5: Solve for x
    x = 119,745,638,314.28/397,269.50
  6. Step 6: Final answer
    x = 301,421.68

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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.