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Finding the Fourth Proportional to 407,306.87, 610,964.79 and 122,999.84

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Solution

The fourth proportional to 407,306.87, 610,964.79 and 122,999.84 is: 184,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,306.87 : 610,964.79 = 122,999.84 : x
  2. Step 2: Convert to fraction form
    407,306.87/610,964.79 = 122,999.84/x
  3. Step 3: Cross multiply
    407,306.87x = 610,964.79 × 122,999.84
  4. Step 4: Simplify right side
    407,306.87x = 75,148,568,360.81
  5. Step 5: Solve for x
    x = 75,148,568,360.81/407,306.87
  6. Step 6: Final answer
    x = 184,501.11

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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.