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Finding the Fourth Proportional to 445,084, 667,731 and 145,563.40

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Solution

The fourth proportional to 445,084, 667,731 and 145,563.40 is: 218,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,084 : 667,731 = 145,563.40 : x
  2. Step 2: Convert to fraction form
    445,084/667,731 = 145,563.40/x
  3. Step 3: Cross multiply
    445,084x = 667,731 × 145,563.40
  4. Step 4: Simplify right side
    445,084x = 97,197,194,645.40
  5. Step 5: Solve for x
    x = 97,197,194,645.40/445,084
  6. Step 6: Final answer
    x = 218,379.44

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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.