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Finding the Fourth Proportional to 257,463.36, 355,227.44 and 202,846

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Solution

The fourth proportional to 257,463.36, 355,227.44 and 202,846 is: 279,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,463.36 : 355,227.44 = 202,846 : x
  2. Step 2: Convert to fraction form
    257,463.36/355,227.44 = 202,846/x
  3. Step 3: Cross multiply
    257,463.36x = 355,227.44 × 202,846
  4. Step 4: Simplify right side
    257,463.36x = 72,056,465,294.24
  5. Step 5: Solve for x
    x = 72,056,465,294.24/257,463.36
  6. Step 6: Final answer
    x = 279,870.76

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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.