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Finding the Fourth Proportional to 354,871.90, 490,257.39 and 232,654.66

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Solution

The fourth proportional to 354,871.90, 490,257.39 and 232,654.66 is: 321,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,871.90 : 490,257.39 = 232,654.66 : x
  2. Step 2: Convert to fraction form
    354,871.90/490,257.39 = 232,654.66/x
  3. Step 3: Cross multiply
    354,871.90x = 490,257.39 × 232,654.66
  4. Step 4: Simplify right side
    354,871.90x = 114,060,666,382.94
  5. Step 5: Solve for x
    x = 114,060,666,382.94/354,871.90
  6. Step 6: Final answer
    x = 321,413.63

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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.