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Finding the Fourth Proportional to 540,412.97, 811,034.98 and 512,662.37

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Solution

The fourth proportional to 540,412.97, 811,034.98 and 512,662.37 is: 769,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,412.97 : 811,034.98 = 512,662.37 : x
  2. Step 2: Convert to fraction form
    540,412.97/811,034.98 = 512,662.37/x
  3. Step 3: Cross multiply
    540,412.97x = 811,034.98 × 512,662.37
  4. Step 4: Simplify right side
    540,412.97x = 415,787,109,662.87
  5. Step 5: Solve for x
    x = 415,787,109,662.87/540,412.97
  6. Step 6: Final answer
    x = 769,387.74

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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.