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Finding the Fourth Proportional to 200,457, 300,703.26 and 52,713

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Solution

The fourth proportional to 200,457, 300,703.26 and 52,713 is: 79,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,457 : 300,703.26 = 52,713 : x
  2. Step 2: Convert to fraction form
    200,457/300,703.26 = 52,713/x
  3. Step 3: Cross multiply
    200,457x = 300,703.26 × 52,713
  4. Step 4: Simplify right side
    200,457x = 15,850,970,944.38
  5. Step 5: Solve for x
    x = 15,850,970,944.38/200,457
  6. Step 6: Final answer
    x = 79,074.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.