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Finding the Fourth Proportional to 328,617.85, 493,014.11 and 103,982.28

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Solution

The fourth proportional to 328,617.85, 493,014.11 and 103,982.28 is: 156,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,617.85 : 493,014.11 = 103,982.28 : x
  2. Step 2: Convert to fraction form
    328,617.85/493,014.11 = 103,982.28/x
  3. Step 3: Cross multiply
    328,617.85x = 493,014.11 × 103,982.28
  4. Step 4: Simplify right side
    328,617.85x = 51,264,728,244.99
  5. Step 5: Solve for x
    x = 51,264,728,244.99/328,617.85
  6. Step 6: Final answer
    x = 156,001.05

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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.