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Finding the Fourth Proportional to 538,809.64, 743,562.48 and 297,100.78

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Solution

The fourth proportional to 538,809.64, 743,562.48 and 297,100.78 is: 410,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,809.64 : 743,562.48 = 297,100.78 : x
  2. Step 2: Convert to fraction form
    538,809.64/743,562.48 = 297,100.78/x
  3. Step 3: Cross multiply
    538,809.64x = 743,562.48 × 297,100.78
  4. Step 4: Simplify right side
    538,809.64x = 220,912,992,041.96
  5. Step 5: Solve for x
    x = 220,912,992,041.96/538,809.64
  6. Step 6: Final answer
    x = 410,001.93

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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.