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Finding the Fourth Proportional to 407,078.37, 610,383.93 and 154,197.57

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Solution

The fourth proportional to 407,078.37, 610,383.93 and 154,197.57 is: 231,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,078.37 : 610,383.93 = 154,197.57 : x
  2. Step 2: Convert to fraction form
    407,078.37/610,383.93 = 154,197.57/x
  3. Step 3: Cross multiply
    407,078.37x = 610,383.93 × 154,197.57
  4. Step 4: Simplify right side
    407,078.37x = 94,119,718,773.05
  5. Step 5: Solve for x
    x = 94,119,718,773.05/407,078.37
  6. Step 6: Final answer
    x = 231,207.86

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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.