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Finding the Fourth Proportional to 262,564.80, 394,322.40 and 229,905.60

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Solution

The fourth proportional to 262,564.80, 394,322.40 and 229,905.60 is: 345,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,564.80 : 394,322.40 = 229,905.60 : x
  2. Step 2: Convert to fraction form
    262,564.80/394,322.40 = 229,905.60/x
  3. Step 3: Cross multiply
    262,564.80x = 394,322.40 × 229,905.60
  4. Step 4: Simplify right side
    262,564.80x = 90,656,927,965.44
  5. Step 5: Solve for x
    x = 90,656,927,965.44/262,564.80
  6. Step 6: Final answer
    x = 345,274.49

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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.