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Finding the Fourth Proportional to 422,597.86, 633,896.79 and 256,035.94

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Solution

The fourth proportional to 422,597.86, 633,896.79 and 256,035.94 is: 384,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,597.86 : 633,896.79 = 256,035.94 : x
  2. Step 2: Convert to fraction form
    422,597.86/633,896.79 = 256,035.94/x
  3. Step 3: Cross multiply
    422,597.86x = 633,896.79 × 256,035.94
  4. Step 4: Simplify right side
    422,597.86x = 162,300,357,945.76
  5. Step 5: Solve for x
    x = 162,300,357,945.76/422,597.86
  6. Step 6: Final answer
    x = 384,053.91

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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.