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Finding the Fourth Proportional to 538,808.95, 743,561.54 and 297,100.09

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Solution

The fourth proportional to 538,808.95, 743,561.54 and 297,100.09 is: 410,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808.95 : 743,561.54 = 297,100.09 : x
  2. Step 2: Convert to fraction form
    538,808.95/743,561.54 = 297,100.09/x
  3. Step 3: Cross multiply
    538,808.95x = 743,561.54 × 297,100.09
  4. Step 4: Simplify right side
    538,808.95x = 220,912,200,454.54
  5. Step 5: Solve for x
    x = 220,912,200,454.54/538,808.95
  6. Step 6: Final answer
    x = 410,000.99

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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.