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Finding the Fourth Proportional to 309,140.67, 463,107.29 and 213,060.69

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Solution

The fourth proportional to 309,140.67, 463,107.29 and 213,060.69 is: 319,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,140.67 : 463,107.29 = 213,060.69 : x
  2. Step 2: Convert to fraction form
    309,140.67/463,107.29 = 213,060.69/x
  3. Step 3: Cross multiply
    309,140.67x = 463,107.29 × 213,060.69
  4. Step 4: Simplify right side
    309,140.67x = 98,669,958,751.43
  5. Step 5: Solve for x
    x = 98,669,958,751.43/309,140.67
  6. Step 6: Final answer
    x = 319,174.96

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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.