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Finding the Fourth Proportional to 392,680.91, 586,361.23 and 311,811.32

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Solution

The fourth proportional to 392,680.91, 586,361.23 and 311,811.32 is: 465,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,680.91 : 586,361.23 = 311,811.32 : x
  2. Step 2: Convert to fraction form
    392,680.91/586,361.23 = 311,811.32/x
  3. Step 3: Cross multiply
    392,680.91x = 586,361.23 × 311,811.32
  4. Step 4: Simplify right side
    392,680.91x = 182,834,069,809.50
  5. Step 5: Solve for x
    x = 182,834,069,809.50/392,680.91
  6. Step 6: Final answer
    x = 465,604.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.