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Finding the Fourth Proportional to 345,448.62, 476,720.06 and 200,282.61

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Solution

The fourth proportional to 345,448.62, 476,720.06 and 200,282.61 is: 276,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,448.62 : 476,720.06 = 200,282.61 : x
  2. Step 2: Convert to fraction form
    345,448.62/476,720.06 = 200,282.61/x
  3. Step 3: Cross multiply
    345,448.62x = 476,720.06 × 200,282.61
  4. Step 4: Simplify right side
    345,448.62x = 95,478,737,856.16
  5. Step 5: Solve for x
    x = 95,478,737,856.16/345,448.62
  6. Step 6: Final answer
    x = 276,390.56

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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.