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Finding the Fourth Proportional to 309,619.32, 464,560.48 and 169,213.92

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Solution

The fourth proportional to 309,619.32, 464,560.48 and 169,213.92 is: 253,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,619.32 : 464,560.48 = 169,213.92 : x
  2. Step 2: Convert to fraction form
    309,619.32/464,560.48 = 169,213.92/x
  3. Step 3: Cross multiply
    309,619.32x = 464,560.48 × 169,213.92
  4. Step 4: Simplify right side
    309,619.32x = 78,610,099,897.88
  5. Step 5: Solve for x
    x = 78,610,099,897.88/309,619.32
  6. Step 6: Final answer
    x = 253,892.75

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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.