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Finding the Fourth Proportional to 503,344.31, 694,631.46 and 288,525.02

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Solution

The fourth proportional to 503,344.31, 694,631.46 and 288,525.02 is: 398,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,344.31 : 694,631.46 = 288,525.02 : x
  2. Step 2: Convert to fraction form
    503,344.31/694,631.46 = 288,525.02/x
  3. Step 3: Cross multiply
    503,344.31x = 694,631.46 × 288,525.02
  4. Step 4: Simplify right side
    503,344.31x = 200,418,555,889.13
  5. Step 5: Solve for x
    x = 200,418,555,889.13/503,344.31
  6. Step 6: Final answer
    x = 398,173.88

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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.