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Finding the Fourth Proportional to 309,065.80, 463,377.30 and 119,363.80

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Solution

The fourth proportional to 309,065.80, 463,377.30 and 119,363.80 is: 178,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,065.80 : 463,377.30 = 119,363.80 : x
  2. Step 2: Convert to fraction form
    309,065.80/463,377.30 = 119,363.80/x
  3. Step 3: Cross multiply
    309,065.80x = 463,377.30 × 119,363.80
  4. Step 4: Simplify right side
    309,065.80x = 55,310,475,361.74
  5. Step 5: Solve for x
    x = 55,310,475,361.74/309,065.80
  6. Step 6: Final answer
    x = 178,960.19

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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.