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Finding the Fourth Proportional to 324,020.96, 485,988.74 and 96,311.72

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Solution

The fourth proportional to 324,020.96, 485,988.74 and 96,311.72 is: 144,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,020.96 : 485,988.74 = 96,311.72 : x
  2. Step 2: Convert to fraction form
    324,020.96/485,988.74 = 96,311.72/x
  3. Step 3: Cross multiply
    324,020.96x = 485,988.74 × 96,311.72
  4. Step 4: Simplify right side
    324,020.96x = 46,806,411,450.03
  5. Step 5: Solve for x
    x = 46,806,411,450.03/324,020.96
  6. Step 6: Final answer
    x = 144,454.89

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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.