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Finding the Fourth Proportional to 494,420.80, 741,631.20 and 420,937.60

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Solution

The fourth proportional to 494,420.80, 741,631.20 and 420,937.60 is: 631,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,420.80 : 741,631.20 = 420,937.60 : x
  2. Step 2: Convert to fraction form
    494,420.80/741,631.20 = 420,937.60/x
  3. Step 3: Cross multiply
    494,420.80x = 741,631.20 × 420,937.60
  4. Step 4: Simplify right side
    494,420.80x = 312,180,457,413.12
  5. Step 5: Solve for x
    x = 312,180,457,413.12/494,420.80
  6. Step 6: Final answer
    x = 631,406.40

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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.