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Finding the Fourth Proportional to 345,198.53, 476,259.81 and 201,857.11

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Solution

The fourth proportional to 345,198.53, 476,259.81 and 201,857.11 is: 278,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,198.53 : 476,259.81 = 201,857.11 : x
  2. Step 2: Convert to fraction form
    345,198.53/476,259.81 = 201,857.11/x
  3. Step 3: Cross multiply
    345,198.53x = 476,259.81 × 201,857.11
  4. Step 4: Simplify right side
    345,198.53x = 96,136,426,474.45
  5. Step 5: Solve for x
    x = 96,136,426,474.45/345,198.53
  6. Step 6: Final answer
    x = 278,496.05

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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.