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Finding the Fourth Proportional to 311,680.40, 468,185.12 and 293,458

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Solution

The fourth proportional to 311,680.40, 468,185.12 and 293,458 is: 440,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,680.40 : 468,185.12 = 293,458 : x
  2. Step 2: Convert to fraction form
    311,680.40/468,185.12 = 293,458/x
  3. Step 3: Cross multiply
    311,680.40x = 468,185.12 × 293,458
  4. Step 4: Simplify right side
    311,680.40x = 137,392,668,944.96
  5. Step 5: Solve for x
    x = 137,392,668,944.96/311,680.40
  6. Step 6: Final answer
    x = 440,812.67

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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.