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Finding the Fourth Proportional to 448,147.80, 617,593.32 and 320,601.96

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Solution

The fourth proportional to 448,147.80, 617,593.32 and 320,601.96 is: 441,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,147.80 : 617,593.32 = 320,601.96 : x
  2. Step 2: Convert to fraction form
    448,147.80/617,593.32 = 320,601.96/x
  3. Step 3: Cross multiply
    448,147.80x = 617,593.32 × 320,601.96
  4. Step 4: Simplify right side
    448,147.80x = 198,001,628,874.91
  5. Step 5: Solve for x
    x = 198,001,628,874.91/448,147.80
  6. Step 6: Final answer
    x = 441,822.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.