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Finding the Fourth Proportional to 809,722.40, 1,214,000.40 and 454,845.20

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Solution

The fourth proportional to 809,722.40, 1,214,000.40 and 454,845.20 is: 681,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,722.40 : 1,214,000.40 = 454,845.20 : x
  2. Step 2: Convert to fraction form
    809,722.40/1,214,000.40 = 454,845.20/x
  3. Step 3: Cross multiply
    809,722.40x = 1,214,000.40 × 454,845.20
  4. Step 4: Simplify right side
    809,722.40x = 552,182,254,738.08
  5. Step 5: Solve for x
    x = 552,182,254,738.08/809,722.40
  6. Step 6: Final answer
    x = 681,940.20

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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.