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Finding the Fourth Proportional to 501,760.25, 692,428.87 and 283,964.97

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Solution

The fourth proportional to 501,760.25, 692,428.87 and 283,964.97 is: 391,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,760.25 : 692,428.87 = 283,964.97 : x
  2. Step 2: Convert to fraction form
    501,760.25/692,428.87 = 283,964.97/x
  3. Step 3: Cross multiply
    501,760.25x = 692,428.87 × 283,964.97
  4. Step 4: Simplify right side
    501,760.25x = 196,625,543,296.68
  5. Step 5: Solve for x
    x = 196,625,543,296.68/501,760.25
  6. Step 6: Final answer
    x = 391,871.50

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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.