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Finding the Fourth Proportional to 230,806.64, 346,206.36 and 118,422

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Solution

The fourth proportional to 230,806.64, 346,206.36 and 118,422 is: 177,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,806.64 : 346,206.36 = 118,422 : x
  2. Step 2: Convert to fraction form
    230,806.64/346,206.36 = 118,422/x
  3. Step 3: Cross multiply
    230,806.64x = 346,206.36 × 118,422
  4. Step 4: Simplify right side
    230,806.64x = 40,998,449,563.92
  5. Step 5: Solve for x
    x = 40,998,449,563.92/230,806.64
  6. Step 6: Final answer
    x = 177,631.15

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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.