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Finding the Fourth Proportional to 391,057.64, 585,680.34 and 333,506.60

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Solution

The fourth proportional to 391,057.64, 585,680.34 and 333,506.60 is: 499,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,057.64 : 585,680.34 = 333,506.60 : x
  2. Step 2: Convert to fraction form
    391,057.64/585,680.34 = 333,506.60/x
  3. Step 3: Cross multiply
    391,057.64x = 585,680.34 × 333,506.60
  4. Step 4: Simplify right side
    391,057.64x = 195,328,258,880.24
  5. Step 5: Solve for x
    x = 195,328,258,880.24/391,057.64
  6. Step 6: Final answer
    x = 499,487.13

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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.