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Finding the Fourth Proportional to 443,412.20, 665,204.70 and 177,127.40

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Solution

The fourth proportional to 443,412.20, 665,204.70 and 177,127.40 is: 265,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,412.20 : 665,204.70 = 177,127.40 : x
  2. Step 2: Convert to fraction form
    443,412.20/665,204.70 = 177,127.40/x
  3. Step 3: Cross multiply
    443,412.20x = 665,204.70 × 177,127.40
  4. Step 4: Simplify right side
    443,412.20x = 117,825,978,978.78
  5. Step 5: Solve for x
    x = 117,825,978,978.78/443,412.20
  6. Step 6: Final answer
    x = 265,725.61

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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.