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Finding the Fourth Proportional to 300,681.78, 414,843.23 and 205,022.40

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Solution

The fourth proportional to 300,681.78, 414,843.23 and 205,022.40 is: 282,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,681.78 : 414,843.23 = 205,022.40 : x
  2. Step 2: Convert to fraction form
    300,681.78/414,843.23 = 205,022.40/x
  3. Step 3: Cross multiply
    300,681.78x = 414,843.23 × 205,022.40
  4. Step 4: Simplify right side
    300,681.78x = 85,052,153,613.24
  5. Step 5: Solve for x
    x = 85,052,153,613.24/300,681.78
  6. Step 6: Final answer
    x = 282,864.34

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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.