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Finding the Fourth Proportional to 363,804.20, 502,064.93 and 202,659.21

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Solution

The fourth proportional to 363,804.20, 502,064.93 and 202,659.21 is: 279,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,804.20 : 502,064.93 = 202,659.21 : x
  2. Step 2: Convert to fraction form
    363,804.20/502,064.93 = 202,659.21/x
  3. Step 3: Cross multiply
    363,804.20x = 502,064.93 × 202,659.21
  4. Step 4: Simplify right side
    363,804.20x = 101,748,081,069.21
  5. Step 5: Solve for x
    x = 101,748,081,069.21/363,804.20
  6. Step 6: Final answer
    x = 279,678.14

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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.