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Finding the Fourth Proportional to 445,796.10, 668,775.15 and 146,193.30

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Solution

The fourth proportional to 445,796.10, 668,775.15 and 146,193.30 is: 219,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,796.10 : 668,775.15 = 146,193.30 : x
  2. Step 2: Convert to fraction form
    445,796.10/668,775.15 = 146,193.30/x
  3. Step 3: Cross multiply
    445,796.10x = 668,775.15 × 146,193.30
  4. Step 4: Simplify right side
    445,796.10x = 97,770,446,136.50
  5. Step 5: Solve for x
    x = 97,770,446,136.50/445,796.10
  6. Step 6: Final answer
    x = 219,316.51

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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.