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Finding the Fourth Proportional to 538,441.96, 743,040.30 and 293,428.84

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Solution

The fourth proportional to 538,441.96, 743,040.30 and 293,428.84 is: 404,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,441.96 : 743,040.30 = 293,428.84 : x
  2. Step 2: Convert to fraction form
    538,441.96/743,040.30 = 293,428.84/x
  3. Step 3: Cross multiply
    538,441.96x = 743,040.30 × 293,428.84
  4. Step 4: Simplify right side
    538,441.96x = 218,029,453,302.25
  5. Step 5: Solve for x
    x = 218,029,453,302.25/538,441.96
  6. Step 6: Final answer
    x = 404,926.56

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1.5x scale

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.