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Finding the Fourth Proportional to 538,503.97, 743,122.68 and 293,496.49

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Solution

The fourth proportional to 538,503.97, 743,122.68 and 293,496.49 is: 405,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,503.97 : 743,122.68 = 293,496.49 : x
  2. Step 2: Convert to fraction form
    538,503.97/743,122.68 = 293,496.49/x
  3. Step 3: Cross multiply
    538,503.97x = 743,122.68 × 293,496.49
  4. Step 4: Simplify right side
    538,503.97x = 218,103,895,237.52
  5. Step 5: Solve for x
    x = 218,103,895,237.52/538,503.97
  6. Step 6: Final answer
    x = 405,018.18

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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.