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Finding the Fourth Proportional to 394,280.80, 590,643.60 and 236,039.20

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Solution

The fourth proportional to 394,280.80, 590,643.60 and 236,039.20 is: 353,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,280.80 : 590,643.60 = 236,039.20 : x
  2. Step 2: Convert to fraction form
    394,280.80/590,643.60 = 236,039.20/x
  3. Step 3: Cross multiply
    394,280.80x = 590,643.60 × 236,039.20
  4. Step 4: Simplify right side
    394,280.80x = 139,415,042,829.12
  5. Step 5: Solve for x
    x = 139,415,042,829.12/394,280.80
  6. Step 6: Final answer
    x = 353,593.28

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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.