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Finding the Fourth Proportional to 538,690.88, 743,374.26 and 293,670.56

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Solution

The fourth proportional to 538,690.88, 743,374.26 and 293,670.56 is: 405,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,690.88 : 743,374.26 = 293,670.56 : x
  2. Step 2: Convert to fraction form
    538,690.88/743,374.26 = 293,670.56/x
  3. Step 3: Cross multiply
    538,690.88x = 743,374.26 × 293,670.56
  4. Step 4: Simplify right side
    538,690.88x = 218,307,131,506.91
  5. Step 5: Solve for x
    x = 218,307,131,506.91/538,690.88
  6. Step 6: Final answer
    x = 405,254.93

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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.