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Finding the Fourth Proportional to 409,697.76, 614,546.64 and 129,236.80

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Solution

The fourth proportional to 409,697.76, 614,546.64 and 129,236.80 is: 193,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,697.76 : 614,546.64 = 129,236.80 : x
  2. Step 2: Convert to fraction form
    409,697.76/614,546.64 = 129,236.80/x
  3. Step 3: Cross multiply
    409,697.76x = 614,546.64 × 129,236.80
  4. Step 4: Simplify right side
    409,697.76x = 79,422,041,204.35
  5. Step 5: Solve for x
    x = 79,422,041,204.35/409,697.76
  6. Step 6: Final answer
    x = 193,855.20

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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.