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Finding the Fourth Proportional to 407,265.55, 610,997.09 and 122,939.12

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Solution

The fourth proportional to 407,265.55, 610,997.09 and 122,939.12 is: 184,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,265.55 : 610,997.09 = 122,939.12 : x
  2. Step 2: Convert to fraction form
    407,265.55/610,997.09 = 122,939.12/x
  3. Step 3: Cross multiply
    407,265.55x = 610,997.09 × 122,939.12
  4. Step 4: Simplify right side
    407,265.55x = 75,115,441,358.50
  5. Step 5: Solve for x
    x = 75,115,441,358.50/407,265.55
  6. Step 6: Final answer
    x = 184,438.49

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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.