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Finding the Fourth Proportional to 409,832.80, 614,749.20 and 223,208.80

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Solution

The fourth proportional to 409,832.80, 614,749.20 and 223,208.80 is: 334,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,832.80 : 614,749.20 = 223,208.80 : x
  2. Step 2: Convert to fraction form
    409,832.80/614,749.20 = 223,208.80/x
  3. Step 3: Cross multiply
    409,832.80x = 614,749.20 × 223,208.80
  4. Step 4: Simplify right side
    409,832.80x = 137,217,431,232.96
  5. Step 5: Solve for x
    x = 137,217,431,232.96/409,832.80
  6. Step 6: Final answer
    x = 334,813.20

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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.