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Finding the Fourth Proportional to 446,458.80, 669,688.20 and 313,489.20

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Solution

The fourth proportional to 446,458.80, 669,688.20 and 313,489.20 is: 470,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,458.80 : 669,688.20 = 313,489.20 : x
  2. Step 2: Convert to fraction form
    446,458.80/669,688.20 = 313,489.20/x
  3. Step 3: Cross multiply
    446,458.80x = 669,688.20 × 313,489.20
  4. Step 4: Simplify right side
    446,458.80x = 209,940,018,067.44
  5. Step 5: Solve for x
    x = 209,940,018,067.44/446,458.80
  6. Step 6: Final answer
    x = 470,233.80

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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.