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Finding the Fourth Proportional to 253,467.80, 349,754.64 and 201,916.20

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Solution

The fourth proportional to 253,467.80, 349,754.64 and 201,916.20 is: 278,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,467.80 : 349,754.64 = 201,916.20 : x
  2. Step 2: Convert to fraction form
    253,467.80/349,754.64 = 201,916.20/x
  3. Step 3: Cross multiply
    253,467.80x = 349,754.64 × 201,916.20
  4. Step 4: Simplify right side
    253,467.80x = 70,621,125,772.40
  5. Step 5: Solve for x
    x = 70,621,125,772.40/253,467.80
  6. Step 6: Final answer
    x = 278,619.71

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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.