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Finding the Fourth Proportional to 443,431.80, 665,147.70 and 163,150.20

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Solution

The fourth proportional to 443,431.80, 665,147.70 and 163,150.20 is: 244,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,431.80 : 665,147.70 = 163,150.20 : x
  2. Step 2: Convert to fraction form
    443,431.80/665,147.70 = 163,150.20/x
  3. Step 3: Cross multiply
    443,431.80x = 665,147.70 × 163,150.20
  4. Step 4: Simplify right side
    443,431.80x = 108,518,980,284.54
  5. Step 5: Solve for x
    x = 108,518,980,284.54/443,431.80
  6. Step 6: Final answer
    x = 244,725.30

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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.