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Finding the Fourth Proportional to 320,244.48, 480,391.20 and 109,880.64

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Solution

The fourth proportional to 320,244.48, 480,391.20 and 109,880.64 is: 164,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,244.48 : 480,391.20 = 109,880.64 : x
  2. Step 2: Convert to fraction form
    320,244.48/480,391.20 = 109,880.64/x
  3. Step 3: Cross multiply
    320,244.48x = 480,391.20 × 109,880.64
  4. Step 4: Simplify right side
    320,244.48x = 52,785,692,506.37
  5. Step 5: Solve for x
    x = 52,785,692,506.37/320,244.48
  6. Step 6: Final answer
    x = 164,829.36

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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.