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Finding the Fourth Proportional to 311,678.40, 468,182.12 and 293,456

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Solution

The fourth proportional to 311,678.40, 468,182.12 and 293,456 is: 440,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,678.40 : 468,182.12 = 293,456 : x
  2. Step 2: Convert to fraction form
    311,678.40/468,182.12 = 293,456/x
  3. Step 3: Cross multiply
    311,678.40x = 468,182.12 × 293,456
  4. Step 4: Simplify right side
    311,678.40x = 137,390,852,206.72
  5. Step 5: Solve for x
    x = 137,390,852,206.72/311,678.40
  6. Step 6: Final answer
    x = 440,809.67

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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.