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Finding the Fourth Proportional to 458,574.26, 687,936.58 and 188,629.23

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Solution

The fourth proportional to 458,574.26, 687,936.58 and 188,629.23 is: 282,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,574.26 : 687,936.58 = 188,629.23 : x
  2. Step 2: Convert to fraction form
    458,574.26/687,936.58 = 188,629.23/x
  3. Step 3: Cross multiply
    458,574.26x = 687,936.58 × 188,629.23
  4. Step 4: Simplify right side
    458,574.26x = 129,764,949,482.42
  5. Step 5: Solve for x
    x = 129,764,949,482.42/458,574.26
  6. Step 6: Final answer
    x = 282,974.78

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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.