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Finding the Fourth Proportional to 300,405.38, 414,559.82 and 187,228.13

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Solution

The fourth proportional to 300,405.38, 414,559.82 and 187,228.13 is: 258,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,405.38 : 414,559.82 = 187,228.13 : x
  2. Step 2: Convert to fraction form
    300,405.38/414,559.82 = 187,228.13/x
  3. Step 3: Cross multiply
    300,405.38x = 414,559.82 × 187,228.13
  4. Step 4: Simplify right side
    300,405.38x = 77,617,258,267.01
  5. Step 5: Solve for x
    x = 77,617,258,267.01/300,405.38
  6. Step 6: Final answer
    x = 258,375.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.