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Finding the Fourth Proportional to 313,137, 432,116.46 and 169,891.56

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Solution

The fourth proportional to 313,137, 432,116.46 and 169,891.56 is: 234,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,137 : 432,116.46 = 169,891.56 : x
  2. Step 2: Convert to fraction form
    313,137/432,116.46 = 169,891.56/x
  3. Step 3: Cross multiply
    313,137x = 432,116.46 × 169,891.56
  4. Step 4: Simplify right side
    313,137x = 73,412,939,491.08
  5. Step 5: Solve for x
    x = 73,412,939,491.08/313,137
  6. Step 6: Final answer
    x = 234,443.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.