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Finding the Fourth Proportional to 300,778.42, 415,056.33 and 164,785.30

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Solution

The fourth proportional to 300,778.42, 415,056.33 and 164,785.30 is: 227,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,778.42 : 415,056.33 = 164,785.30 : x
  2. Step 2: Convert to fraction form
    300,778.42/415,056.33 = 164,785.30/x
  3. Step 3: Cross multiply
    300,778.42x = 415,056.33 × 164,785.30
  4. Step 4: Simplify right side
    300,778.42x = 68,395,181,855.95
  5. Step 5: Solve for x
    x = 68,395,181,855.95/300,778.42
  6. Step 6: Final answer
    x = 227,393.91

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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.