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Finding the Fourth Proportional to 538,405.68, 743,032.36 and 296,687.84

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Solution

The fourth proportional to 538,405.68, 743,032.36 and 296,687.84 is: 409,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,405.68 : 743,032.36 = 296,687.84 : x
  2. Step 2: Convert to fraction form
    538,405.68/743,032.36 = 296,687.84/x
  3. Step 3: Cross multiply
    538,405.68x = 743,032.36 × 296,687.84
  4. Step 4: Simplify right side
    538,405.68x = 220,448,665,938.50
  5. Step 5: Solve for x
    x = 220,448,665,938.50/538,405.68
  6. Step 6: Final answer
    x = 409,447.14

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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.