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Finding the Fourth Proportional to 809,220, 1,116,723.60 and 451,524

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Solution

The fourth proportional to 809,220, 1,116,723.60 and 451,524 is: 623,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,220 : 1,116,723.60 = 451,524 : x
  2. Step 2: Convert to fraction form
    809,220/1,116,723.60 = 451,524/x
  3. Step 3: Cross multiply
    809,220x = 1,116,723.60 × 451,524
  4. Step 4: Simplify right side
    809,220x = 504,227,506,766.40
  5. Step 5: Solve for x
    x = 504,227,506,766.40/809,220
  6. Step 6: Final answer
    x = 623,103.12

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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.