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Finding the Fourth Proportional to 394,228.80, 590,954.40 and 194,385.60

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Solution

The fourth proportional to 394,228.80, 590,954.40 and 194,385.60 is: 291,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,228.80 : 590,954.40 = 194,385.60 : x
  2. Step 2: Convert to fraction form
    394,228.80/590,954.40 = 194,385.60/x
  3. Step 3: Cross multiply
    394,228.80x = 590,954.40 × 194,385.60
  4. Step 4: Simplify right side
    394,228.80x = 114,873,025,616.64
  5. Step 5: Solve for x
    x = 114,873,025,616.64/394,228.80
  6. Step 6: Final answer
    x = 291,386.69

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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.