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Finding the Fourth Proportional to 501,424.89, 691,955.19 and 283,604.73

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Solution

The fourth proportional to 501,424.89, 691,955.19 and 283,604.73 is: 391,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,424.89 : 691,955.19 = 283,604.73 : x
  2. Step 2: Convert to fraction form
    501,424.89/691,955.19 = 283,604.73/x
  3. Step 3: Cross multiply
    501,424.89x = 691,955.19 × 283,604.73
  4. Step 4: Simplify right side
    501,424.89x = 196,241,764,832.05
  5. Step 5: Solve for x
    x = 196,241,764,832.05/501,424.89
  6. Step 6: Final answer
    x = 391,368.22

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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.