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Finding the Fourth Proportional to 309,892.30, 464,729.10 and 110,219.20

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Solution

The fourth proportional to 309,892.30, 464,729.10 and 110,219.20 is: 165,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,892.30 : 464,729.10 = 110,219.20 : x
  2. Step 2: Convert to fraction form
    309,892.30/464,729.10 = 110,219.20/x
  3. Step 3: Cross multiply
    309,892.30x = 464,729.10 × 110,219.20
  4. Step 4: Simplify right side
    309,892.30x = 51,222,069,618.72
  5. Step 5: Solve for x
    x = 51,222,069,618.72/309,892.30
  6. Step 6: Final answer
    x = 165,289.91

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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.