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Finding the Fourth Proportional to 538,726.57, 743,453.93 and 297,019.33

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Solution

The fourth proportional to 538,726.57, 743,453.93 and 297,019.33 is: 409,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,726.57 : 743,453.93 = 297,019.33 : x
  2. Step 2: Convert to fraction form
    538,726.57/743,453.93 = 297,019.33/x
  3. Step 3: Cross multiply
    538,726.57x = 743,453.93 × 297,019.33
  4. Step 4: Simplify right side
    538,726.57x = 220,820,188,174.47
  5. Step 5: Solve for x
    x = 220,820,188,174.47/538,726.57
  6. Step 6: Final answer
    x = 409,892.89

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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.