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Finding the Fourth Proportional to 441,420, 609,117.48 and 247,783.38

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Solution

The fourth proportional to 441,420, 609,117.48 and 247,783.38 is: 341,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,420 : 609,117.48 = 247,783.38 : x
  2. Step 2: Convert to fraction form
    441,420/609,117.48 = 247,783.38/x
  3. Step 3: Cross multiply
    441,420x = 609,117.48 × 247,783.38
  4. Step 4: Simplify right side
    441,420x = 150,929,188,011.48
  5. Step 5: Solve for x
    x = 150,929,188,011.48/441,420
  6. Step 6: Final answer
    x = 341,917.42

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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.