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Finding the Fourth Proportional to 538,679.73, 743,380.02 and 293,663.10

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Solution

The fourth proportional to 538,679.73, 743,380.02 and 293,663.10 is: 405,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,679.73 : 743,380.02 = 293,663.10 : x
  2. Step 2: Convert to fraction form
    538,679.73/743,380.02 = 293,663.10/x
  3. Step 3: Cross multiply
    538,679.73x = 743,380.02 × 293,663.10
  4. Step 4: Simplify right side
    538,679.73x = 218,303,281,151.26
  5. Step 5: Solve for x
    x = 218,303,281,151.26/538,679.73
  6. Step 6: Final answer
    x = 405,256.16

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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.