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Finding the Fourth Proportional to 328,997.90, 493,582.94 and 115,757.16

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Solution

The fourth proportional to 328,997.90, 493,582.94 and 115,757.16 is: 173,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,997.90 : 493,582.94 = 115,757.16 : x
  2. Step 2: Convert to fraction form
    328,997.90/493,582.94 = 115,757.16/x
  3. Step 3: Cross multiply
    328,997.90x = 493,582.94 × 115,757.16
  4. Step 4: Simplify right side
    328,997.90x = 57,135,759,358.85
  5. Step 5: Solve for x
    x = 57,135,759,358.85/328,997.90
  6. Step 6: Final answer
    x = 173,666.03

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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.