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Finding the Fourth Proportional to 305,371.66, 421,413.96 and 169,408.30

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Solution

The fourth proportional to 305,371.66, 421,413.96 and 169,408.30 is: 233,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,371.66 : 421,413.96 = 169,408.30 : x
  2. Step 2: Convert to fraction form
    305,371.66/421,413.96 = 169,408.30/x
  3. Step 3: Cross multiply
    305,371.66x = 421,413.96 × 169,408.30
  4. Step 4: Simplify right side
    305,371.66x = 71,391,022,559.87
  5. Step 5: Solve for x
    x = 71,391,022,559.87/305,371.66
  6. Step 6: Final answer
    x = 233,784.05

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1.5x scale

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.