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Finding the Fourth Proportional to 512,220.60, 766,581.30 and 470,230.20

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Solution

The fourth proportional to 512,220.60, 766,581.30 and 470,230.20 is: 703,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,220.60 : 766,581.30 = 470,230.20 : x
  2. Step 2: Convert to fraction form
    512,220.60/766,581.30 = 470,230.20/x
  3. Step 3: Cross multiply
    512,220.60x = 766,581.30 × 470,230.20
  4. Step 4: Simplify right side
    512,220.60x = 360,469,678,015.26
  5. Step 5: Solve for x
    x = 360,469,678,015.26/512,220.60
  6. Step 6: Final answer
    x = 703,739.13

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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.