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Finding the Fourth Proportional to 665,213.76, 917,997.84 and 363,414.24

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Solution

The fourth proportional to 665,213.76, 917,997.84 and 363,414.24 is: 501,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,213.76 : 917,997.84 = 363,414.24 : x
  2. Step 2: Convert to fraction form
    665,213.76/917,997.84 = 363,414.24/x
  3. Step 3: Cross multiply
    665,213.76x = 917,997.84 × 363,414.24
  4. Step 4: Simplify right side
    665,213.76x = 333,613,487,345.24
  5. Step 5: Solve for x
    x = 333,613,487,345.24/665,213.76
  6. Step 6: Final answer
    x = 501,513.21

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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.