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Finding the Fourth Proportional to 300,146.88, 413,722.08 and 203,321.28

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Solution

The fourth proportional to 300,146.88, 413,722.08 and 203,321.28 is: 280,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,146.88 : 413,722.08 = 203,321.28 : x
  2. Step 2: Convert to fraction form
    300,146.88/413,722.08 = 203,321.28/x
  3. Step 3: Cross multiply
    300,146.88x = 413,722.08 × 203,321.28
  4. Step 4: Simplify right side
    300,146.88x = 84,118,502,869.86
  5. Step 5: Solve for x
    x = 84,118,502,869.86/300,146.88
  6. Step 6: Final answer
    x = 280,257.80

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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.