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Finding the Fourth Proportional to 408,473.08, 563,609.40 and 238,674.40

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Solution

The fourth proportional to 408,473.08, 563,609.40 and 238,674.40 is: 329,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,473.08 : 563,609.40 = 238,674.40 : x
  2. Step 2: Convert to fraction form
    408,473.08/563,609.40 = 238,674.40/x
  3. Step 3: Cross multiply
    408,473.08x = 563,609.40 × 238,674.40
  4. Step 4: Simplify right side
    408,473.08x = 134,519,135,379.36
  5. Step 5: Solve for x
    x = 134,519,135,379.36/408,473.08
  6. Step 6: Final answer
    x = 329,321.91

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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.