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Finding the Fourth Proportional to 313,563.80, 470,151.30 and 180,378.20

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Solution

The fourth proportional to 313,563.80, 470,151.30 and 180,378.20 is: 270,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,563.80 : 470,151.30 = 180,378.20 : x
  2. Step 2: Convert to fraction form
    313,563.80/470,151.30 = 180,378.20/x
  3. Step 3: Cross multiply
    313,563.80x = 470,151.30 × 180,378.20
  4. Step 4: Simplify right side
    313,563.80x = 84,805,045,221.66
  5. Step 5: Solve for x
    x = 84,805,045,221.66/313,563.80
  6. Step 6: Final answer
    x = 270,455.47

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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.