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Finding the Fourth Proportional to 538,490, 743,121.36 and 296,781.44

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Solution

The fourth proportional to 538,490, 743,121.36 and 296,781.44 is: 409,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,490 : 743,121.36 = 296,781.44 : x
  2. Step 2: Convert to fraction form
    538,490/743,121.36 = 296,781.44/x
  3. Step 3: Cross multiply
    538,490x = 743,121.36 × 296,781.44
  4. Step 4: Simplify right side
    538,490x = 220,544,627,315.56
  5. Step 5: Solve for x
    x = 220,544,627,315.56/538,490
  6. Step 6: Final answer
    x = 409,561.23

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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.