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Finding the Fourth Proportional to 538,488.64, 743,080.93 and 296,757.72

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Solution

The fourth proportional to 538,488.64, 743,080.93 and 296,757.72 is: 409,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,488.64 : 743,080.93 = 296,757.72 : x
  2. Step 2: Convert to fraction form
    538,488.64/743,080.93 = 296,757.72/x
  3. Step 3: Cross multiply
    538,488.64x = 743,080.93 × 296,757.72
  4. Step 4: Simplify right side
    538,488.64x = 220,515,002,562.28
  5. Step 5: Solve for x
    x = 220,515,002,562.28/538,488.64
  6. Step 6: Final answer
    x = 409,507.25

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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.