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Finding the Fourth Proportional to 282,433.72, 389,876.34 and 201,893.80

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Solution

The fourth proportional to 282,433.72, 389,876.34 and 201,893.80 is: 278,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,433.72 : 389,876.34 = 201,893.80 : x
  2. Step 2: Convert to fraction form
    282,433.72/389,876.34 = 201,893.80/x
  3. Step 3: Cross multiply
    282,433.72x = 389,876.34 × 201,893.80
  4. Step 4: Simplify right side
    282,433.72x = 78,713,615,812.69
  5. Step 5: Solve for x
    x = 78,713,615,812.69/282,433.72
  6. Step 6: Final answer
    x = 278,697.66

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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.