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Finding the Fourth Proportional to 420,796.92, 631,208.34 and 184,017.72

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Solution

The fourth proportional to 420,796.92, 631,208.34 and 184,017.72 is: 276,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,796.92 : 631,208.34 = 184,017.72 : x
  2. Step 2: Convert to fraction form
    420,796.92/631,208.34 = 184,017.72/x
  3. Step 3: Cross multiply
    420,796.92x = 631,208.34 × 184,017.72
  4. Step 4: Simplify right side
    420,796.92x = 116,153,519,571.79
  5. Step 5: Solve for x
    x = 116,153,519,571.79/420,796.92
  6. Step 6: Final answer
    x = 276,032.25

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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.