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Finding the Fourth Proportional to 363,836.80, 502,131.72 and 202,718.08

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Solution

The fourth proportional to 363,836.80, 502,131.72 and 202,718.08 is: 279,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,836.80 : 502,131.72 = 202,718.08 : x
  2. Step 2: Convert to fraction form
    363,836.80/502,131.72 = 202,718.08/x
  3. Step 3: Cross multiply
    363,836.80x = 502,131.72 × 202,718.08
  4. Step 4: Simplify right side
    363,836.80x = 101,791,178,185.50
  5. Step 5: Solve for x
    x = 101,791,178,185.50/363,836.80
  6. Step 6: Final answer
    x = 279,771.53

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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.