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Finding the Fourth Proportional to 401,305.12, 601,892.06 and 120,756.76

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Solution

The fourth proportional to 401,305.12, 601,892.06 and 120,756.76 is: 181,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,305.12 : 601,892.06 = 120,756.76 : x
  2. Step 2: Convert to fraction form
    401,305.12/601,892.06 = 120,756.76/x
  3. Step 3: Cross multiply
    401,305.12x = 601,892.06 × 120,756.76
  4. Step 4: Simplify right side
    401,305.12x = 72,682,535,035.33
  5. Step 5: Solve for x
    x = 72,682,535,035.33/401,305.12
  6. Step 6: Final answer
    x = 181,115.39

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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.