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Finding the Fourth Proportional to 538,494.40, 743,122.24 and 296,776.96

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Solution

The fourth proportional to 538,494.40, 743,122.24 and 296,776.96 is: 409,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,494.40 : 743,122.24 = 296,776.96 : x
  2. Step 2: Convert to fraction form
    538,494.40/743,122.24 = 296,776.96/x
  3. Step 3: Cross multiply
    538,494.40x = 743,122.24 × 296,776.96
  4. Step 4: Simplify right side
    538,494.40x = 220,541,559,295.59
  5. Step 5: Solve for x
    x = 220,541,559,295.59/538,494.40
  6. Step 6: Final answer
    x = 409,552.19

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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.