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Finding the Fourth Proportional to 353,999.68, 530,732.16 and 213,724.80

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Solution

The fourth proportional to 353,999.68, 530,732.16 and 213,724.80 is: 320,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,999.68 : 530,732.16 = 213,724.80 : x
  2. Step 2: Convert to fraction form
    353,999.68/530,732.16 = 213,724.80/x
  3. Step 3: Cross multiply
    353,999.68x = 530,732.16 × 213,724.80
  4. Step 4: Simplify right side
    353,999.68x = 113,430,624,749.57
  5. Step 5: Solve for x
    x = 113,430,624,749.57/353,999.68
  6. Step 6: Final answer
    x = 320,425.78

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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.