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Finding the Fourth Proportional to 328,806.48, 493,238.16 and 115,556.16

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Solution

The fourth proportional to 328,806.48, 493,238.16 and 115,556.16 is: 173,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,806.48 : 493,238.16 = 115,556.16 : x
  2. Step 2: Convert to fraction form
    328,806.48/493,238.16 = 115,556.16/x
  3. Step 3: Cross multiply
    328,806.48x = 493,238.16 × 115,556.16
  4. Step 4: Simplify right side
    328,806.48x = 56,996,707,735.07
  5. Step 5: Solve for x
    x = 56,996,707,735.07/328,806.48
  6. Step 6: Final answer
    x = 173,344.23

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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.