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Finding the Fourth Proportional to 408,185.96, 611,697.46 and 300,724.81

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Solution

The fourth proportional to 408,185.96, 611,697.46 and 300,724.81 is: 450,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,185.96 : 611,697.46 = 300,724.81 : x
  2. Step 2: Convert to fraction form
    408,185.96/611,697.46 = 300,724.81/x
  3. Step 3: Cross multiply
    408,185.96x = 611,697.46 × 300,724.81
  4. Step 4: Simplify right side
    408,185.96x = 183,952,601,658.55
  5. Step 5: Solve for x
    x = 183,952,601,658.55/408,185.96
  6. Step 6: Final answer
    x = 450,658.82

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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.