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Finding the Fourth Proportional to 538,013.54, 807,069.83 and 138,655.80

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Solution

The fourth proportional to 538,013.54, 807,069.83 and 138,655.80 is: 207,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,013.54 : 807,069.83 = 138,655.80 : x
  2. Step 2: Convert to fraction form
    538,013.54/807,069.83 = 138,655.80/x
  3. Step 3: Cross multiply
    538,013.54x = 807,069.83 × 138,655.80
  4. Step 4: Simplify right side
    538,013.54x = 111,904,912,241.24
  5. Step 5: Solve for x
    x = 111,904,912,241.24/538,013.54
  6. Step 6: Final answer
    x = 207,996.46

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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.