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Finding the Fourth Proportional to 466,413.80, 643,817.25 and 275,427.95

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Solution

The fourth proportional to 466,413.80, 643,817.25 and 275,427.95 is: 380,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,413.80 : 643,817.25 = 275,427.95 : x
  2. Step 2: Convert to fraction form
    466,413.80/643,817.25 = 275,427.95/x
  3. Step 3: Cross multiply
    466,413.80x = 643,817.25 × 275,427.95
  4. Step 4: Simplify right side
    466,413.80x = 177,325,262,123.05
  5. Step 5: Solve for x
    x = 177,325,262,123.05/466,413.80
  6. Step 6: Final answer
    x = 380,188.72

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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.