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Finding the Fourth Proportional to 328,872.99, 493,313.21 and 115,647.24

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Solution

The fourth proportional to 328,872.99, 493,313.21 and 115,647.24 is: 173,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,872.99 : 493,313.21 = 115,647.24 : x
  2. Step 2: Convert to fraction form
    328,872.99/493,313.21 = 115,647.24/x
  3. Step 3: Cross multiply
    328,872.99x = 493,313.21 × 115,647.24
  4. Step 4: Simplify right side
    328,872.99x = 57,050,310,613.80
  5. Step 5: Solve for x
    x = 57,050,310,613.80/328,872.99
  6. Step 6: Final answer
    x = 173,472.17

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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.