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Finding the Fourth Proportional to 431,457.88, 647,186.34 and 200,623.96

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Solution

The fourth proportional to 431,457.88, 647,186.34 and 200,623.96 is: 300,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,457.88 : 647,186.34 = 200,623.96 : x
  2. Step 2: Convert to fraction form
    431,457.88/647,186.34 = 200,623.96/x
  3. Step 3: Cross multiply
    431,457.88x = 647,186.34 × 200,623.96
  4. Step 4: Simplify right side
    431,457.88x = 129,841,086,388.71
  5. Step 5: Solve for x
    x = 129,841,086,388.71/431,457.88
  6. Step 6: Final answer
    x = 300,935.72

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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.