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Finding the Fourth Proportional to 643,999.50, 965,999.25 and 200,767.50

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Solution

The fourth proportional to 643,999.50, 965,999.25 and 200,767.50 is: 301,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,999.50 : 965,999.25 = 200,767.50 : x
  2. Step 2: Convert to fraction form
    643,999.50/965,999.25 = 200,767.50/x
  3. Step 3: Cross multiply
    643,999.50x = 965,999.25 × 200,767.50
  4. Step 4: Simplify right side
    643,999.50x = 193,941,254,424.38
  5. Step 5: Solve for x
    x = 193,941,254,424.38/643,999.50
  6. Step 6: Final answer
    x = 301,151.25

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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.