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Finding the Fourth Proportional to 538,468.16, 743,091.13 and 296,759.43

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Solution

The fourth proportional to 538,468.16, 743,091.13 and 296,759.43 is: 409,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,468.16 : 743,091.13 = 296,759.43 : x
  2. Step 2: Convert to fraction form
    538,468.16/743,091.13 = 296,759.43/x
  3. Step 3: Cross multiply
    538,468.16x = 743,091.13 × 296,759.43
  4. Step 4: Simplify right side
    538,468.16x = 220,519,298,693.06
  5. Step 5: Solve for x
    x = 220,519,298,693.06/538,468.16
  6. Step 6: Final answer
    x = 409,530.81

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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.