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Finding the Fourth Proportional to 491,727.60, 737,591.40 and 305,103.60

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Solution

The fourth proportional to 491,727.60, 737,591.40 and 305,103.60 is: 457,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,727.60 : 737,591.40 = 305,103.60 : x
  2. Step 2: Convert to fraction form
    491,727.60/737,591.40 = 305,103.60/x
  3. Step 3: Cross multiply
    491,727.60x = 737,591.40 × 305,103.60
  4. Step 4: Simplify right side
    491,727.60x = 225,041,791,469.04
  5. Step 5: Solve for x
    x = 225,041,791,469.04/491,727.60
  6. Step 6: Final answer
    x = 457,655.40

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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.