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Finding the Fourth Proportional to 727,080.80, 1,003,362 and 421,198.88

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Solution

The fourth proportional to 727,080.80, 1,003,362 and 421,198.88 is: 581,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,080.80 : 1,003,362 = 421,198.88 : x
  2. Step 2: Convert to fraction form
    727,080.80/1,003,362 = 421,198.88/x
  3. Step 3: Cross multiply
    727,080.80x = 1,003,362 × 421,198.88
  4. Step 4: Simplify right side
    727,080.80x = 422,614,950,634.56
  5. Step 5: Solve for x
    x = 422,614,950,634.56/727,080.80
  6. Step 6: Final answer
    x = 581,248.95

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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.