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Finding the Fourth Proportional to 365,213.40, 503,965.80 and 201,863.04

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Solution

The fourth proportional to 365,213.40, 503,965.80 and 201,863.04 is: 278,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,213.40 : 503,965.80 = 201,863.04 : x
  2. Step 2: Convert to fraction form
    365,213.40/503,965.80 = 201,863.04/x
  3. Step 3: Cross multiply
    365,213.40x = 503,965.80 × 201,863.04
  4. Step 4: Simplify right side
    365,213.40x = 101,732,068,444.03
  5. Step 5: Solve for x
    x = 101,732,068,444.03/365,213.40
  6. Step 6: Final answer
    x = 278,555.14

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1.5x scale

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.