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Finding the Fourth Proportional to 363,804.70, 502,065.60 and 202,659.70

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Solution

The fourth proportional to 363,804.70, 502,065.60 and 202,659.70 is: 279,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,804.70 : 502,065.60 = 202,659.70 : x
  2. Step 2: Convert to fraction form
    363,804.70/502,065.60 = 202,659.70/x
  3. Step 3: Cross multiply
    363,804.70x = 502,065.60 × 202,659.70
  4. Step 4: Simplify right side
    363,804.70x = 101,748,463,876.32
  5. Step 5: Solve for x
    x = 101,748,463,876.32/363,804.70
  6. Step 6: Final answer
    x = 279,678.81

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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.