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Finding the Fourth Proportional to 409,621.20, 614,431.80 and 362,965.20

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Solution

The fourth proportional to 409,621.20, 614,431.80 and 362,965.20 is: 544,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,621.20 : 614,431.80 = 362,965.20 : x
  2. Step 2: Convert to fraction form
    409,621.20/614,431.80 = 362,965.20/x
  3. Step 3: Cross multiply
    409,621.20x = 614,431.80 × 362,965.20
  4. Step 4: Simplify right side
    409,621.20x = 223,017,361,173.36
  5. Step 5: Solve for x
    x = 223,017,361,173.36/409,621.20
  6. Step 6: Final answer
    x = 544,447.80

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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.