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Finding the Fourth Proportional to 394,473.60, 591,710.40 and 114,019.20

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Solution

The fourth proportional to 394,473.60, 591,710.40 and 114,019.20 is: 171,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,473.60 : 591,710.40 = 114,019.20 : x
  2. Step 2: Convert to fraction form
    394,473.60/591,710.40 = 114,019.20/x
  3. Step 3: Cross multiply
    394,473.60x = 591,710.40 × 114,019.20
  4. Step 4: Simplify right side
    394,473.60x = 67,466,346,439.68
  5. Step 5: Solve for x
    x = 67,466,346,439.68/394,473.60
  6. Step 6: Final answer
    x = 171,028.80

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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.