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Finding the Fourth Proportional to 407,327.77, 611,021.63 and 107,806.32

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Solution

The fourth proportional to 407,327.77, 611,021.63 and 107,806.32 is: 161,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,327.77 : 611,021.63 = 107,806.32 : x
  2. Step 2: Convert to fraction form
    407,327.77/611,021.63 = 107,806.32/x
  3. Step 3: Cross multiply
    407,327.77x = 611,021.63 × 107,806.32
  4. Step 4: Simplify right side
    407,327.77x = 65,871,993,370.70
  5. Step 5: Solve for x
    x = 65,871,993,370.70/407,327.77
  6. Step 6: Final answer
    x = 161,717.41

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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.