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Finding the Fourth Proportional to 555,072, 765,997.92 and 300,423.12

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Solution

The fourth proportional to 555,072, 765,997.92 and 300,423.12 is: 414,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,072 : 765,997.92 = 300,423.12 : x
  2. Step 2: Convert to fraction form
    555,072/765,997.92 = 300,423.12/x
  3. Step 3: Cross multiply
    555,072x = 765,997.92 × 300,423.12
  4. Step 4: Simplify right side
    555,072x = 230,123,485,039.91
  5. Step 5: Solve for x
    x = 230,123,485,039.91/555,072
  6. Step 6: Final answer
    x = 414,583.13

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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.