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Finding the Fourth Proportional to 402,424.44, 603,261.40 and 135,998.64

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Solution

The fourth proportional to 402,424.44, 603,261.40 and 135,998.64 is: 203,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,424.44 : 603,261.40 = 135,998.64 : x
  2. Step 2: Convert to fraction form
    402,424.44/603,261.40 = 135,998.64/x
  3. Step 3: Cross multiply
    402,424.44x = 603,261.40 × 135,998.64
  4. Step 4: Simplify right side
    402,424.44x = 82,042,729,964.50
  5. Step 5: Solve for x
    x = 82,042,729,964.50/402,424.44
  6. Step 6: Final answer
    x = 203,871.14

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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.