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Finding the Fourth Proportional to 400,281.64, 550,076.81 and 381,778.60

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Solution

The fourth proportional to 400,281.64, 550,076.81 and 381,778.60 is: 524,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,281.64 : 550,076.81 = 381,778.60 : x
  2. Step 2: Convert to fraction form
    400,281.64/550,076.81 = 381,778.60/x
  3. Step 3: Cross multiply
    400,281.64x = 550,076.81 × 381,778.60
  4. Step 4: Simplify right side
    400,281.64x = 210,007,554,414.27
  5. Step 5: Solve for x
    x = 210,007,554,414.27/400,281.64
  6. Step 6: Final answer
    x = 524,649.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.