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Finding the Fourth Proportional to 309,519.17, 464,409.97 and 169,113.77

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Solution

The fourth proportional to 309,519.17, 464,409.97 and 169,113.77 is: 253,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,519.17 : 464,409.97 = 169,113.77 : x
  2. Step 2: Convert to fraction form
    309,519.17/464,409.97 = 169,113.77/x
  3. Step 3: Cross multiply
    309,519.17x = 464,409.97 × 169,113.77
  4. Step 4: Simplify right side
    309,519.17x = 78,538,118,107.45
  5. Step 5: Solve for x
    x = 78,538,118,107.45/309,519.17
  6. Step 6: Final answer
    x = 253,742.34

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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.