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Finding the Fourth Proportional to 538,609.41, 743,280.80 and 296,896.01

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Solution

The fourth proportional to 538,609.41, 743,280.80 and 296,896.01 is: 409,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,609.41 : 743,280.80 = 296,896.01 : x
  2. Step 2: Convert to fraction form
    538,609.41/743,280.80 = 296,896.01/x
  3. Step 3: Cross multiply
    538,609.41x = 743,280.80 × 296,896.01
  4. Step 4: Simplify right side
    538,609.41x = 220,677,098,628.72
  5. Step 5: Solve for x
    x = 220,677,098,628.72/538,609.41
  6. Step 6: Final answer
    x = 409,716.38

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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.