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Finding the Fourth Proportional to 351,814.16, 485,588.04 and 200,998.64

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Solution

The fourth proportional to 351,814.16, 485,588.04 and 200,998.64 is: 277,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,814.16 : 485,588.04 = 200,998.64 : x
  2. Step 2: Convert to fraction form
    351,814.16/485,588.04 = 200,998.64/x
  3. Step 3: Cross multiply
    351,814.16x = 485,588.04 × 200,998.64
  4. Step 4: Simplify right side
    351,814.16x = 97,602,535,640.27
  5. Step 5: Solve for x
    x = 97,602,535,640.27/351,814.16
  6. Step 6: Final answer
    x = 277,426.40

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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.