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Finding the Fourth Proportional to 313,100.82, 432,065.87 and 177,137.08

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Solution

The fourth proportional to 313,100.82, 432,065.87 and 177,137.08 is: 244,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,100.82 : 432,065.87 = 177,137.08 : x
  2. Step 2: Convert to fraction form
    313,100.82/432,065.87 = 177,137.08/x
  3. Step 3: Cross multiply
    313,100.82x = 432,065.87 × 177,137.08
  4. Step 4: Simplify right side
    313,100.82x = 76,534,886,579.46
  5. Step 5: Solve for x
    x = 76,534,886,579.46/313,100.82
  6. Step 6: Final answer
    x = 244,441.67

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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.