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Finding the Fourth Proportional to 403,410.30, 605,489.35 and 203,871.14

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Solution

The fourth proportional to 403,410.30, 605,489.35 and 203,871.14 is: 305,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,410.30 : 605,489.35 = 203,871.14 : x
  2. Step 2: Convert to fraction form
    403,410.30/605,489.35 = 203,871.14/x
  3. Step 3: Cross multiply
    403,410.30x = 605,489.35 × 203,871.14
  4. Step 4: Simplify right side
    403,410.30x = 123,441,804,042.36
  5. Step 5: Solve for x
    x = 123,441,804,042.36/403,410.30
  6. Step 6: Final answer
    x = 305,995.67

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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.