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Finding the Fourth Proportional to 520,413.80, 780,912.30 and 220,843.40

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Solution

The fourth proportional to 520,413.80, 780,912.30 and 220,843.40 is: 331,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,413.80 : 780,912.30 = 220,843.40 : x
  2. Step 2: Convert to fraction form
    520,413.80/780,912.30 = 220,843.40/x
  3. Step 3: Cross multiply
    520,413.80x = 780,912.30 × 220,843.40
  4. Step 4: Simplify right side
    520,413.80x = 172,459,327,433.82
  5. Step 5: Solve for x
    x = 172,459,327,433.82/520,413.80
  6. Step 6: Final answer
    x = 331,388.84

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1.5x scale

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.