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Finding the Fourth Proportional to 309,212.64, 463,993.92 and 131,701.14

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Solution

The fourth proportional to 309,212.64, 463,993.92 and 131,701.14 is: 197,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,212.64 : 463,993.92 = 131,701.14 : x
  2. Step 2: Convert to fraction form
    309,212.64/463,993.92 = 131,701.14/x
  3. Step 3: Cross multiply
    309,212.64x = 463,993.92 × 131,701.14
  4. Step 4: Simplify right side
    309,212.64x = 61,108,528,217.07
  5. Step 5: Solve for x
    x = 61,108,528,217.07/309,212.64
  6. Step 6: Final answer
    x = 197,626.23

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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.