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Finding the Fourth Proportional to 538,135.94, 807,204.92 and 505,253.03

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Solution

The fourth proportional to 538,135.94, 807,204.92 and 505,253.03 is: 757,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,135.94 : 807,204.92 = 505,253.03 : x
  2. Step 2: Convert to fraction form
    538,135.94/807,204.92 = 505,253.03/x
  3. Step 3: Cross multiply
    538,135.94x = 807,204.92 × 505,253.03
  4. Step 4: Simplify right side
    538,135.94x = 407,842,731,660.91
  5. Step 5: Solve for x
    x = 407,842,731,660.91/538,135.94
  6. Step 6: Final answer
    x = 757,880.49

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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.