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Finding the Fourth Proportional to 321,813.57, 482,875.89 and 132,413.70

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Solution

The fourth proportional to 321,813.57, 482,875.89 and 132,413.70 is: 198,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,813.57 : 482,875.89 = 132,413.70 : x
  2. Step 2: Convert to fraction form
    321,813.57/482,875.89 = 132,413.70/x
  3. Step 3: Cross multiply
    321,813.57x = 482,875.89 × 132,413.70
  4. Step 4: Simplify right side
    321,813.57x = 63,939,383,235.69
  5. Step 5: Solve for x
    x = 63,939,383,235.69/321,813.57
  6. Step 6: Final answer
    x = 198,684.55

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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.