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Finding the Fourth Proportional to 227,305.45, 340,926.32 and 120,642.49

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Solution

The fourth proportional to 227,305.45, 340,926.32 and 120,642.49 is: 180,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,305.45 : 340,926.32 = 120,642.49 : x
  2. Step 2: Convert to fraction form
    227,305.45/340,926.32 = 120,642.49/x
  3. Step 3: Cross multiply
    227,305.45x = 340,926.32 × 120,642.49
  4. Step 4: Simplify right side
    227,305.45x = 41,130,199,548.12
  5. Step 5: Solve for x
    x = 41,130,199,548.12/227,305.45
  6. Step 6: Final answer
    x = 180,946.83

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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.