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Finding the Fourth Proportional to 407,942.70, 610,704.45 and 303,225.90

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Solution

The fourth proportional to 407,942.70, 610,704.45 and 303,225.90 is: 453,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,942.70 : 610,704.45 = 303,225.90 : x
  2. Step 2: Convert to fraction form
    407,942.70/610,704.45 = 303,225.90/x
  3. Step 3: Cross multiply
    407,942.70x = 610,704.45 × 303,225.90
  4. Step 4: Simplify right side
    407,942.70x = 185,181,406,485.26
  5. Step 5: Solve for x
    x = 185,181,406,485.26/407,942.70
  6. Step 6: Final answer
    x = 453,939.75

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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.