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Finding the Fourth Proportional to 300,384.23, 450,078.75 and 211,202.01

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Solution

The fourth proportional to 300,384.23, 450,078.75 and 211,202.01 is: 316,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,384.23 : 450,078.75 = 211,202.01 : x
  2. Step 2: Convert to fraction form
    300,384.23/450,078.75 = 211,202.01/x
  3. Step 3: Cross multiply
    300,384.23x = 450,078.75 × 211,202.01
  4. Step 4: Simplify right side
    300,384.23x = 95,057,536,658.29
  5. Step 5: Solve for x
    x = 95,057,536,658.29/300,384.23
  6. Step 6: Final answer
    x = 316,453.16

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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.