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Finding the Fourth Proportional to 445,083, 667,729.50 and 145,562.40

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Solution

The fourth proportional to 445,083, 667,729.50 and 145,562.40 is: 218,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,083 : 667,729.50 = 145,562.40 : x
  2. Step 2: Convert to fraction form
    445,083/667,729.50 = 145,562.40/x
  3. Step 3: Cross multiply
    445,083x = 667,729.50 × 145,562.40
  4. Step 4: Simplify right side
    445,083x = 97,196,308,570.80
  5. Step 5: Solve for x
    x = 97,196,308,570.80/445,083
  6. Step 6: Final answer
    x = 218,377.94

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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.