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Finding the Fourth Proportional to 211,969.80, 317,954.70 and 183,429.45

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Solution

The fourth proportional to 211,969.80, 317,954.70 and 183,429.45 is: 275,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,969.80 : 317,954.70 = 183,429.45 : x
  2. Step 2: Convert to fraction form
    211,969.80/317,954.70 = 183,429.45/x
  3. Step 3: Cross multiply
    211,969.80x = 317,954.70 × 183,429.45
  4. Step 4: Simplify right side
    211,969.80x = 58,322,255,745.92
  5. Step 5: Solve for x
    x = 58,322,255,745.92/211,969.80
  6. Step 6: Final answer
    x = 275,144.18

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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.