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Finding the Fourth Proportional to 393,909.92, 590,815.64 and 109,621.80

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Solution

The fourth proportional to 393,909.92, 590,815.64 and 109,621.80 is: 164,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,909.92 : 590,815.64 = 109,621.80 : x
  2. Step 2: Convert to fraction form
    393,909.92/590,815.64 = 109,621.80/x
  3. Step 3: Cross multiply
    393,909.92x = 590,815.64 × 109,621.80
  4. Step 4: Simplify right side
    393,909.92x = 64,766,273,924.95
  5. Step 5: Solve for x
    x = 64,766,273,924.95/393,909.92
  6. Step 6: Final answer
    x = 164,419.00

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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.