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Finding the Fourth Proportional to 441,380, 609,104.40 and 240,177.44

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Solution

The fourth proportional to 441,380, 609,104.40 and 240,177.44 is: 331,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,380 : 609,104.40 = 240,177.44 : x
  2. Step 2: Convert to fraction form
    441,380/609,104.40 = 240,177.44/x
  3. Step 3: Cross multiply
    441,380x = 609,104.40 × 240,177.44
  4. Step 4: Simplify right side
    441,380x = 146,293,135,484.74
  5. Step 5: Solve for x
    x = 146,293,135,484.74/441,380
  6. Step 6: Final answer
    x = 331,444.87

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1.5x scale

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.