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Finding the Fourth Proportional to 512,193.60, 766,540.80 and 470,203.20

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Solution

The fourth proportional to 512,193.60, 766,540.80 and 470,203.20 is: 703,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,193.60 : 766,540.80 = 470,203.20 : x
  2. Step 2: Convert to fraction form
    512,193.60/766,540.80 = 470,203.20/x
  3. Step 3: Cross multiply
    512,193.60x = 766,540.80 × 470,203.20
  4. Step 4: Simplify right side
    512,193.60x = 360,429,937,090.56
  5. Step 5: Solve for x
    x = 360,429,937,090.56/512,193.60
  6. Step 6: Final answer
    x = 703,698.63

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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.