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Finding the Fourth Proportional to 309,110.80, 463,291.80 and 131,244.40

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Solution

The fourth proportional to 309,110.80, 463,291.80 and 131,244.40 is: 196,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,110.80 : 463,291.80 = 131,244.40 : x
  2. Step 2: Convert to fraction form
    309,110.80/463,291.80 = 131,244.40/x
  3. Step 3: Cross multiply
    309,110.80x = 463,291.80 × 131,244.40
  4. Step 4: Simplify right side
    309,110.80x = 60,804,454,315.92
  5. Step 5: Solve for x
    x = 60,804,454,315.92/309,110.80
  6. Step 6: Final answer
    x = 196,707.63

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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.