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Finding the Fourth Proportional to 399,092.86, 550,752.78 and 238,039.48

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Solution

The fourth proportional to 399,092.86, 550,752.78 and 238,039.48 is: 328,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,092.86 : 550,752.78 = 238,039.48 : x
  2. Step 2: Convert to fraction form
    399,092.86/550,752.78 = 238,039.48/x
  3. Step 3: Cross multiply
    399,092.86x = 550,752.78 × 238,039.48
  4. Step 4: Simplify right side
    399,092.86x = 131,100,905,359.75
  5. Step 5: Solve for x
    x = 131,100,905,359.75/399,092.86
  6. Step 6: Final answer
    x = 328,497.25

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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.