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Finding the Fourth Proportional to 442,825.40, 664,238.10 and 293,234.60

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Solution

The fourth proportional to 442,825.40, 664,238.10 and 293,234.60 is: 439,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,825.40 : 664,238.10 = 293,234.60 : x
  2. Step 2: Convert to fraction form
    442,825.40/664,238.10 = 293,234.60/x
  3. Step 3: Cross multiply
    442,825.40x = 664,238.10 × 293,234.60
  4. Step 4: Simplify right side
    442,825.40x = 194,777,593,558.26
  5. Step 5: Solve for x
    x = 194,777,593,558.26/442,825.40
  6. Step 6: Final answer
    x = 439,851.90

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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.